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Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths
| Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths |
| Autore | Griffiths Phillip A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (241 pages) : portrait |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Exterior differential systems
Differential equations, Partial Embeddings (Mathematics) Riemannian manifolds |
| Soggetto non controllato |
American Mathematical Society
Combination Descriptive geometry Embedding Geometry Integer Mathematics Mechanical engineering Subgroup Theorem Theory |
| ISBN | 1-4008-8210-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index |
| Record Nr. | UNINA-9910154748403321 |
Griffiths Phillip A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
| Autore | Freidlin Mark Iosifovich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
| Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
| ISBN | 1-4008-8159-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154753703321 |
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Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Homogenization methods for multiscale mechanics [[electronic resource] /] / Chiang C. Mei, Bogdan Vernescu
| Homogenization methods for multiscale mechanics [[electronic resource] /] / Chiang C. Mei, Bogdan Vernescu |
| Autore | Mei Chiang C |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2010 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina | 515.3/53 |
| Altri autori (Persone) | VernescuBogdan |
| Soggetto topico |
Homogenization (Differential equations)
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14381-X
9786613143815 981-4282-45-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory examples of homogenization method. Long waves in a layered elastic medium ; Short waves in a weakly stratified elastic medium ; Dispersion of passive solute in pipe flow ; Typical procedure of homogenization analysis -- Diffusion in a composite. Basic equations for two components in perfect contact ; Effective equation on the macroscale ; Effective boundary condition ; Symmetry and positiveness of effective conductivity ; Laminated composites ; Bounds for effective conductivity ; Hashin-Shtrikman bounds ; Other approximate results for dilute inclusions ; Thermal resistance at the interface ; Laminated composites with thermal resistance ; Bounds for the effective conductivity ; Chemical transport in aggregated soil ; Appendix 2A : heat transfer in a two-slab system -- Seepage in rigid porous media. Equations for seepage flow and Darcy's law ; Uniqueness of the cell boundary-value problem ; Symmetry and positiveness of hydraulic conductivity ; Numerical computation of the permeability tensor ; Seepage of a compressible fluid ; Two-dimensional flow through a three-dimensional matrix ; Porous media with three scales ; Brinkman's modification of Darcy's law ; Effects of weak fluid intertia ; Appendix 3A : spatial averaging theorem -- Dispersion in periodic media or flows. Passive solute in a two-scale seepage flow ; Macrodispersion in a three-scale porous medium ; Dispersion and transport in a wave boundary layer above the seabed ; Appendix 4A : derivation of convection-dispersion equation ; Appendix 4B : an alternate form of macrodispersion tensor -- Heterogeneous elastic materials. effective equations on the macroscale ; The effective elastic coefficients ; Application to fiber-reinforced composite ; Elastic panels with periodic microstructure ; Variational principles and bounds for the elastic moduli ; Hashin-Shtrikman bounds ; Partially cohesive composites ; Appendix 5A : properties of a tensor of fourth rank -- Deformable porous media. Basic equations for fluid and solid phases ; Scale estimates ; Multiple-scale expansions ; Averaged total momentum of the composite ; Averaged mass conservation of fluid phase ; Averaged fluid momentum ; Time-Harmonic motion ; Properties of the effective coefficients ; Computed elastic coefficients ; Boundary-layer approximation for macroscale problems ; Appendix 6A : properties of the compliance tensor ; Appendix 6B : variational principle for the elastostatic problem in a cell -- Wave propagation in inhomogeneous media. Long wave through a compact cylinder array ; Bragg scattering of short waves by a cylinder array ; Sound propagation in a bubbly liquid ; One-dimensional sound through a weakly random medium ; Weakly nonlinear dispersive waves in a random medium ; Harmonic generation in random media. |
| Record Nr. | UNINA-9910463952503321 |
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Mei Chiang C
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| Hackensack, N.J., : World Scientific, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Homogenization methods for multiscale mechanics [[electronic resource] /] / Chiang C. Mei, Bogdan Vernescu
| Homogenization methods for multiscale mechanics [[electronic resource] /] / Chiang C. Mei, Bogdan Vernescu |
| Autore | Mei Chiang C |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2010 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina | 515.3/53 |
| Altri autori (Persone) | VernescuBogdan |
| Soggetto topico |
Homogenization (Differential equations)
Mathematical physics |
| ISBN |
1-283-14381-X
9786613143815 981-4282-45-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory examples of homogenization method. Long waves in a layered elastic medium ; Short waves in a weakly stratified elastic medium ; Dispersion of passive solute in pipe flow ; Typical procedure of homogenization analysis -- Diffusion in a composite. Basic equations for two components in perfect contact ; Effective equation on the macroscale ; Effective boundary condition ; Symmetry and positiveness of effective conductivity ; Laminated composites ; Bounds for effective conductivity ; Hashin-Shtrikman bounds ; Other approximate results for dilute inclusions ; Thermal resistance at the interface ; Laminated composites with thermal resistance ; Bounds for the effective conductivity ; Chemical transport in aggregated soil ; Appendix 2A : heat transfer in a two-slab system -- Seepage in rigid porous media. Equations for seepage flow and Darcy's law ; Uniqueness of the cell boundary-value problem ; Symmetry and positiveness of hydraulic conductivity ; Numerical computation of the permeability tensor ; Seepage of a compressible fluid ; Two-dimensional flow through a three-dimensional matrix ; Porous media with three scales ; Brinkman's modification of Darcy's law ; Effects of weak fluid intertia ; Appendix 3A : spatial averaging theorem -- Dispersion in periodic media or flows. Passive solute in a two-scale seepage flow ; Macrodispersion in a three-scale porous medium ; Dispersion and transport in a wave boundary layer above the seabed ; Appendix 4A : derivation of convection-dispersion equation ; Appendix 4B : an alternate form of macrodispersion tensor -- Heterogeneous elastic materials. effective equations on the macroscale ; The effective elastic coefficients ; Application to fiber-reinforced composite ; Elastic panels with periodic microstructure ; Variational principles and bounds for the elastic moduli ; Hashin-Shtrikman bounds ; Partially cohesive composites ; Appendix 5A : properties of a tensor of fourth rank -- Deformable porous media. Basic equations for fluid and solid phases ; Scale estimates ; Multiple-scale expansions ; Averaged total momentum of the composite ; Averaged mass conservation of fluid phase ; Averaged fluid momentum ; Time-Harmonic motion ; Properties of the effective coefficients ; Computed elastic coefficients ; Boundary-layer approximation for macroscale problems ; Appendix 6A : properties of the compliance tensor ; Appendix 6B : variational principle for the elastostatic problem in a cell -- Wave propagation in inhomogeneous media. Long wave through a compact cylinder array ; Bragg scattering of short waves by a cylinder array ; Sound propagation in a bubbly liquid ; One-dimensional sound through a weakly random medium ; Weakly nonlinear dispersive waves in a random medium ; Harmonic generation in random media. |
| Record Nr. | UNINA-9910788569203321 |
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Mei Chiang C
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| Hackensack, N.J., : World Scientific, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Involutive hyperbolic differential systems / / Deane Yang
| Involutive hyperbolic differential systems / / Deane Yang |
| Autore | Yang Deane <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Differential equations, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0786-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Abstract""; ""Introduction""; ""1. Involutive hyperbolic symbols""; ""1.1 Cartan's test for involutive symbols""; ""1.2 Guillemin normal form""; ""1.3 The characteristic variety and sheaf of an involutive symbol""; ""1.4 Involutive hyperbolic symbols""; ""1.5 Symbols with rectangular tableaux""; ""1.6 Symbols in two independent variables""; ""1.7 Involutive hyperbolic symbols of character 2""; ""2. Involutive hyperbolic linear differential operators""; ""2.1 Cartan's test""; ""2.2 Guillemin normal form"" |
| Record Nr. | UNINA-9910480460803321 |
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Yang Deane <1957->
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Involutive hyperbolic differential systems / / Deane Yang
| Involutive hyperbolic differential systems / / Deane Yang |
| Autore | Yang Deane <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Differential equations, Hyperbolic |
| ISBN | 1-4704-0786-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Abstract""; ""Introduction""; ""1. Involutive hyperbolic symbols""; ""1.1 Cartan's test for involutive symbols""; ""1.2 Guillemin normal form""; ""1.3 The characteristic variety and sheaf of an involutive symbol""; ""1.4 Involutive hyperbolic symbols""; ""1.5 Symbols with rectangular tableaux""; ""1.6 Symbols in two independent variables""; ""1.7 Involutive hyperbolic symbols of character 2""; ""2. Involutive hyperbolic linear differential operators""; ""2.1 Cartan's test""; ""2.2 Guillemin normal form"" |
| Record Nr. | UNINA-9910788884003321 |
|
Yang Deane <1957->
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Involutive hyperbolic differential systems / / Deane Yang
| Involutive hyperbolic differential systems / / Deane Yang |
| Autore | Yang Deane <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Differential equations, Hyperbolic |
| ISBN | 1-4704-0786-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Abstract""; ""Introduction""; ""1. Involutive hyperbolic symbols""; ""1.1 Cartan's test for involutive symbols""; ""1.2 Guillemin normal form""; ""1.3 The characteristic variety and sheaf of an involutive symbol""; ""1.4 Involutive hyperbolic symbols""; ""1.5 Symbols with rectangular tableaux""; ""1.6 Symbols in two independent variables""; ""1.7 Involutive hyperbolic symbols of character 2""; ""2. Involutive hyperbolic linear differential operators""; ""2.1 Cartan's test""; ""2.2 Guillemin normal form"" |
| Record Nr. | UNINA-9910828912103321 |
|
Yang Deane <1957->
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan
| A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
| Autore | Berger Marc A. <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (45 p.) |
| Disciplina |
510 s
515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0673-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
| Record Nr. | UNINA-9910480779203321 |
|
Berger Marc A. <1955->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan
| A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
| Autore | Berger Marc A. <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (45 p.) |
| Disciplina |
510 s
515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
| ISBN | 1-4704-0673-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
| Record Nr. | UNINA-9910788897403321 |
|
Berger Marc A. <1955->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan
| A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
| Autore | Berger Marc A. <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (45 p.) |
| Disciplina |
510 s
515.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
| ISBN | 1-4704-0673-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
| Record Nr. | UNINA-9910828917903321 |
|
Berger Marc A. <1955->
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| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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