Partial Differential Equations

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Partial Differential Equations

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Partial Differential Equations

  • Brand: Unbranded

£85.51

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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. Language: English
  • Brand: Unbranded
  • Category: Education
  • Artist: Jürgen Jost
  • Format: Hardback
  • Language: English
  • Publication Date: 2012/11/13
  • Publisher / Label: Springer
  • Number of Pages: 410
  • Fruugo ID: 343662668-752843675
  • ISBN: 9781461448082

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