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Book Categories |
Preface | ||
Introduction: What Are Partial Differential Equations? | 1 | |
1 | The Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order | 7 |
2 | The Maximum Principle | 31 |
3 | Existence Techniques I: Methods Based on the Maximum Principle | 51 |
4 | Existence Techniques II: Parabolic Methods. The Heat Equation | 77 |
5 | The Wave Equation and Its Connections with the Laplace and Heat Equations | 113 |
6 | The Heat Equation, Semigroups, and Brownian Motion | 127 |
7 | The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III) | 157 |
8 | Sobolev Spaces and L[superscript 2] Regularity Theory | 193 |
9 | Strong Solutions | 243 |
10 | The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) | 255 |
11 | The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash | 275 |
App | Banach and Hilbert Spaces. The L[superscript P]-Spaces | 309 |
References | 317 | |
Index of Notation | 319 | |
Index | 323 |
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Add Partial Differential Equations, This book is intended for students who wish to get an introduction to the theory of partial differential equations.The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear pr, Partial Differential Equations to the inventory that you are selling on WonderClubX
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Add Partial Differential Equations, This book is intended for students who wish to get an introduction to the theory of partial differential equations.The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear pr, Partial Differential Equations to your collection on WonderClub |