Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33 / / Lipman Bers, Fritz John, Salomon Trust |
Autore | Bers Lipman |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (268 pages) |
Disciplina | 517.38 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Differential equations, Partial |
Soggetto non controllato |
A priori estimate
Absolute value Adjoint equation Analytic continuation Analytic function Applied mathematics Axiom Bernhard Riemann Big O notation Bilinear form Boundary value problem Bounded set (topological vector space) Calculation Cauchy problem Cauchy sequence Cauchy–Riemann equations Closure (mathematics) Coefficient Conservation law Constant coefficients Continuous function Derivative Difference "ient Differentiable function Differential equation Differential form Differential operator Directional derivative Dirichlet boundary condition Dirichlet integral Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Ellipse Elliptic operator Elliptic partial differential equation Equation Estimation Exact differential Existence theorem Existential quantification Exponential function Finite difference method Finite difference Function (mathematics) Fundamental solution Green's function Harmonic function Heat equation Hilbert space Hyperbolic partial differential equation Hölder's inequality Infinitesimal generator (stochastic processes) Initial value problem Integral equation Integration by parts Kronecker delta Lagrange polynomial Laplace's equation Limit (mathematics) Limit of a sequence Limit superior and limit inferior Linear differential equation Linear function Linear map Lipschitz continuity Mathematical proof Modulus of continuity Mollifier N-vector Nonlinear system Numerical analysis Operational calculus Ordinary differential equation Parametrix Parity (mathematics) Partial derivative Partial differential equation Pointwise Polynomial Quadratic form Quasiconformal mapping Riemann function Riemannian geometry Riemannian manifold Riemann–Liouville integral Self-adjoint operator Self-adjoint Sign (mathematics) Simultaneous equations Special case Spectral theory Subsequence Theorem Unit vector Upper and lower bounds Variable (mathematics) Variational principle Wave equation Weak solution |
ISBN | 1-4008-8218-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Contents -- I. Green's Formula and Analytic Continuation / Bochner, S. -- II. Strongly Elliptic Systems of Differential Equations / Browder, F. E. -- III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations / John, F. -- IV. On Multivalued Solutions of Linear Partial Differential Equations / Bergman, S. -- V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type / Bers, L. -- VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations / Nirenberg, L. -- VII. Second Order Elliptic Systems of Differential Equations / Morrey, C. B. -- VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings / Loewner, C. -- IX. Parabolic Equations / Lax, P. D. / Milgram, A. N. -- X. Linear Equations of Parabolic Type with Constant Coefficients / Rosenbloom, P. C. -- XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space / Leray, J. -- XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables / Lax, P. D. -- XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order / Douglis, A. -- XIV. On Cauchy's Problem and Fundamental Solutions / Diaz, J. B. -- XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems / Protter, M. H. -- Backmatter |
Record Nr. | UNINA-9910154747003321 |
Bers Lipman | ||
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 |
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 |
Freidlin Mark Iosifovich | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / / Joseph John Kohn, Gerald B. Folland |
Autore | Folland Gerald B. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (157 pages) |
Disciplina | 515/.353 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Neumann problem
Differential operators Complex manifolds |
Soggetto non controllato |
A priori estimate
Almost complex manifold Analytic function Apply Approximation Bernhard Riemann Boundary value problem Calculation Cauchy–Riemann equations Cohomology Compact space Complex analysis Complex manifold Coordinate system Corollary Derivative Differentiable manifold Differential equation Differential form Differential operator Dimension (vector space) Dirichlet boundary condition Eigenvalues and eigenvectors Elliptic operator Equation Estimation Euclidean space Existence theorem Exterior (topology) Finite difference Fourier analysis Fourier transform Frobenius theorem (differential topology) Functional analysis Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Irreducible representation Line segment Linear programming Local coordinates Lp space Manifold Monograph Multi-index notation Nonlinear system Operator (physics) Overdetermined system Partial differential equation Partition of unity Potential theory Power series Pseudo-differential operator Pseudoconvexity Pseudogroup Pullback Regularity theorem Remainder Scientific notation Several complex variables Sheaf (mathematics) Smoothness Sobolev space Special case Statistical significance Sturm–Liouville theory Submanifold Tangent bundle Theorem Uniform norm Vector field Weight function |
ISBN | 1-4008-8152-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- FOREWORD -- TABLE OF CONTENTS -- CHAPTER I. FORMULATION OF THE PROBLEM -- CHAPTER II. THE MAIN THEOREM -- CHAPTER III. INTERPRETATION OF THE MAIN THEOREM -- CHAPTER IV. APPLICATIONS -- CHAPTER V. THE BOUNDARY COMPLEX -- CHAPTER VI. OTHER METHODS AND RESULTS -- APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS -- REFERENCES -- TERMINOLOGICAL INDEX -- TERMINOLOGICAL INDEX |
Record Nr. | UNINA-9910154743903321 |
Folland Gerald B. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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