E-Book, Englisch, Band 214, 370 Seiten, eBook
E-Book, Englisch, Band 214, 370 Seiten, eBook
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-49319-0
Verlag: Springer US
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction: What Are Partial Differential Equations?.- The Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order.- The Maximum Principle.- Existence Techniques I: Methods Based on the Maximum Principle.- Existence Techniques II: Parabolic Methods. The Heat Equation.- Reaction-Diffusion Equations and Systems.- The Wave Equation and its Connections with the Laplace and Heat Equations.- The Heat Equation, Semigroups, and Brownian Motion.- The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III).- Sobolev Spaces and L2 Regularity Theory.- Strong Solutions.- The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV).- The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash.