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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics / David Holcman, Zeev Schuss
| Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics / David Holcman, Zeev Schuss |
| Autore | Holcman, David |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xxiii, 444 p. : ill. ; 24 cm |
| Altri autori (Persone) | Schuss, Zeev |
| Soggetto topico |
81Q20 - Semiclassical techniques including WKB and Maslov methods applied to problems in quantum theory [MSC 2020]
35P20 - Asymptotic distribution of eigenvalues in context of PDEs [MSC 2020] 35Qxx - Partial differential equations of mathematical physics and other areas of application [MSC 2020] 34E20 - Singular perturbations, turning point theory, WKB methods for ordinary differential equation [MSC 2020] 30E25 - Boundary value problems in the complex plane [MSC 2020] |
| Soggetto non controllato |
Applied conformal transformation
Asymptotic formula Boundary Value Problems Eigenvalues Eikonal equation Extreme statistics First passage time Greens Functions Helmholtz Equation Integral equations Long-time asymptotics Matched asymptotics Narrow escape Neumann’s function Non-self adjoint operators Partial differential equations Poisson-Nernst-Planck Ray method Short-time asymptotics WKB |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124579 |
Holcman, David
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics / David Holcman, Zeev Schuss
| Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics / David Holcman, Zeev Schuss |
| Autore | Holcman, David |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xxiii, 444 p. : ill. ; 24 cm |
| Altri autori (Persone) | Schuss, Zeev |
| Soggetto topico |
30E25 - Boundary value problems in the complex plane [MSC 2020]
34E20 - Singular perturbations, turning point theory, WKB methods for ordinary differential equation [MSC 2020] 35P20 - Asymptotic distribution of eigenvalues in context of PDEs [MSC 2020] 35Qxx - Partial differential equations of mathematical physics and other areas of application [MSC 2020] 81Q20 - Semiclassical techniques including WKB and Maslov methods applied to problems in quantum theory [MSC 2020] |
| Soggetto non controllato |
Applied conformal transformation
Asymptotic formula Boundary Value Problems Eigenvalues Eikonal equation Extreme statistics First passage time Greens Functions Helmholtz Equation Integral equations Long-time asymptotics Matched asymptotics Narrow escape Neumann’s function Non-self adjoint operators Partial Differential Equations Poisson-Nernst-Planck Ray method Short-time asymptotics WKB |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00124579 |
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Holcman, David
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
| Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (436 pages) : illustrations |
| Disciplina | 515/.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Harmonic analysis |
| Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
| ISBN | 1-4008-8209-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
| An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell |
| Autore | Truesdell Clifford |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (197 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functional equations |
| Soggetto non controllato |
Addition
Antiderivative Asymptotic formula Bessel function Beta function Boundary value problem Change of variables Closed-form expression Coefficient Combination Continuous function Corollary Differential equation Enumeration Equation Existential quantification Explicit formula Exponential function Factorial Function (mathematics) Functional equation Hermite polynomials Hypergeometric function Integer Laguerre polynomials Laplace transform Legendre function Linear difference equation Linear differential equation Mathematical induction Mathematician Monomial Natural number Number theory Ordinary differential equation Parameter Periodic function Polygamma function Polynomial Potential theory Power series Rectangle Recurrence relation Remainder Scientific notation Sequent Simple function Singular solution Special case Special functions Summation Theorem Theory Uniqueness theorem Variable (mathematics) Without loss of generality |
| ISBN | 1-4008-8237-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography |
| Record Nr. | UNINA-9910154746503321 |
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Truesdell Clifford
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
| Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
| Autore | Hörmander Lars |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 515/.353 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
| Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
| ISBN | 1-4008-8158-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
| Record Nr. | UNINA-9910154745903321 |
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Hörmander Lars
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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