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Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová
| Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová |
| Autore | Drábek Pavel <1953-> |
| Edizione | [Second, revised and extended edition.] |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 515/.353 |
| Collana | De Gruyter Textbook |
| Soggetto topico | Differential equations, Partial |
| Soggetto non controllato |
Boundary value problems for evolution and stationary equations
Diffusion equation Integral transforms Laplace and Poisson equation Partial differential equation Wave equation |
| ISBN |
3-11-037404-8
3-11-031667-6 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Motivation, Derivation of Basic Mathematical Models -- Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- Chapter 3. Linear Partial Differential Equations of the First Order -- Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 6. Laplace and Poisson Equations in Two Dimensions -- Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- Chapter 9. Methods of Integral Transforms -- Chapter 10. General Principles -- Chapter 11. Laplace and Poisson equations in Higher Dimensions -- Chapter 12. Diffusion Equation in Higher Dimensions -- Chapter 13. Wave Equation in Higher Dimensions -- Appendix A. Sturm-Liouville Problem -- Appendix B. Bessel Functions -- Some Typical Problems Considered in this Book -- Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910787188403321 |
Drábek Pavel <1953->
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová
| Elements of partial differential equations / / Pavel Drábek, Gabriela Holubová |
| Autore | Drábek Pavel <1953-> |
| Edizione | [Second, revised and extended edition.] |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 515/.353 |
| Collana | De Gruyter Textbook |
| Soggetto topico | Differential equations, Partial |
| Soggetto non controllato |
Boundary value problems for evolution and stationary equations
Diffusion equation Integral transforms Laplace and Poisson equation Partial differential equation Wave equation |
| ISBN |
3-11-037404-8
3-11-031667-6 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Motivation, Derivation of Basic Mathematical Models -- Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- Chapter 3. Linear Partial Differential Equations of the First Order -- Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R -- Chapter 6. Laplace and Poisson Equations in Two Dimensions -- Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- Chapter 9. Methods of Integral Transforms -- Chapter 10. General Principles -- Chapter 11. Laplace and Poisson equations in Higher Dimensions -- Chapter 12. Diffusion Equation in Higher Dimensions -- Chapter 13. Wave Equation in Higher Dimensions -- Appendix A. Sturm-Liouville Problem -- Appendix B. Bessel Functions -- Some Typical Problems Considered in this Book -- Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910817891103321 |
|
Drábek Pavel <1953->
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||