Partial Differential Equations

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Partial Differential Equations. 3rd ed. 2013

種類:

電子ブック

責任表示:

by Jürgen Jost

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2013

著者名:

シリーズ名:

Graduate Texts in Mathematics ; 214

ISBN:

9781461448099 [1461448093]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-1-4614-4809-9

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子書誌情報

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詳細

主題:

Mathematics; Partial Differential Equations; Theoretical, Mathematical and Computational Physics

分類・件名:

DC23 : 515.353
LCSH : Mathematics
LCSH : Differential equations, partial
FREE : Mathematics
FREE : Partial Differential Equations
FREE : Theoretical, Mathematical and Computational Physics

形態:

XIII, 410 p. 10 illus : digital

目次情報:

Preface
Introduction: What are Partial Differential Equations?
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, Semigroups, 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. The L^p-Spaces
References
Index of Notation
Index

Preface
Introduction: What are Partial Differential Equations?
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

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書誌ID:

KB00010038

内容紹介

目次情報

類似資料:

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