Partial Differential Equations I Basic Theory /

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spa...

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Bibliografiske detaljer
Hovedforfatter: Taylor, Michael E. (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer International Publishing : Imprint: Springer, 2023.
Udgivelse:3rd ed. 2023.
Serier:Applied Mathematical Sciences, 115
Fag:
Online adgang:https://doi.org/10.1007/978-3-031-33859-5
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Indholdsfortegnelse:
  • Contents of Volumes II and III
  • Preface
  • 1 Basic Theory of ODE and Vector Fields
  • 2 The Laplace Equation and Wave Equation
  • 3 Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE
  • 4 Sobolev Spaces
  • 5 Linear Elliptic Equation
  • 6 Linear Evolution Equations
  • A Outline of Functional Analysis
  • B Manifolds, Vector Bundles, and Lie Groups
  • Index. .