Partial differential equations / Jürgen Jost.
Material type: TextPublication details: New York: Springer, 2013Edition: 3rd edDescription: xiii, 410 p. 24 cmISBN: 9781461448082Subject(s): Differential equations, PartialDDC classification: 515.353Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University | 515.353 JOS/P (Browse shelf(Opens below)) | Available | 45961 |
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515.353 JEF/I Introduction to partial differential equations with MATLAB // | 515.353 JOH/P Partial Differential Equations | 515.353 JOS/P Partial differential equations/ | 515.353 JOS/P Partial differential equations / | 515.353 JOS/P Partial differential equations / | 515.353 LAR/P Partial differential equations with numerical methods/ | 515.353 LOG/A Applied Partial Differential Equations |
Includes bibliographical references and index.
1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order.-
2 The Maximum Principle.-
3 Existence Techniques I: Methods Based on the Maximum Principle.-
4 Existence Techniques II: Parabolic Methods. The Heat Equation.-
5 Reaction-Diffusion Equations and Systems.-
6 Hyperbolic Equations.-
7 The Heat Equation, Semi groups, and Brownian Motion.-
8 Relationships between Different Partial Differential Equations.-
9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III).
- 10 Sobolev Spaces and L^2 Regularity theory.-
11 Strong solutions.-
12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV).-
13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash.- Appendix: Banach and Hilbert spaces.
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