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Partial differential equations / Jürgen Jost.

By: Jost, JürgenMaterial type: Text

TextPublication details: New York: Springer, 2013Edition: 3rd edDescription: xiii, 410 p. 24 cmISBN: 9781461448082Subject(s): Differential equations, PartialDDC classification: 515.353

Contents:

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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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University	515.353 JOS/P (Browse shelf(Opens below))	Available		45961

Total holds: 0

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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