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Partial Differential Equations

This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The sco...

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Bibliografiske detaljer
Main Authors: DiBenedetto, Emmanuele (Author), Gianazza, Ugo (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.
Udgivelse:3rd ed. 2023.
Serier:Cornerstones,
Fag:
Differential equations.
Functional analysis.
Difference equations.
Functional equations.
Integral equations.
Mathematical models.
Differential Equations.
Functional Analysis.
Difference and Functional Equations.
Integral Equations.
Mathematical Modeling and Industrial Mathematics.
Online adgang:https://doi.org/10.1007/978-3-031-46618-2
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Indholdsfortegnelse:
  • Preliminaries
  • Quasi-Linear Equations and the Cauchy-Kowalewski Theorem
  • The Laplace Equation
  • Boundary Value Problems by Double-Layer Potentials
  • Integral Equations and Eigenvalue Problems
  • The Heat Equation
  • The Wave Equation
  • Quasi-Linear Equations of First Order
  • Linear Elliptic Equations with Measurable Coefficients
  • Elliptic De Giorgi Classes
  • Navier-Stokes Equations
  • Quasi-Linear Hyperbolic First Order Systems
  • Non-Linear Equations of the First Order.

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