Nonlinear Partial Differential Equations Asymptotic Behavior of Solutions and Self-Similar Solutions /

The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Giga, Mi-Ho (Autor), Giga, Yoshikazu (Autor), Saal, Jürgen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Progress in Nonlinear Differential Equations and Their Applications, 79
Temas:
Differential equations.
Functional analysis.
Mathematical analysis.
Approximation theory.
Differential Equations.
Functional Analysis.
Analysis.
Approximations and Expansions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Asymptotic Behavior of Solutions of Partial Differential Equations
  • Behavior Near Time Infinity of Solutions of the Heat Equation
  • Behavior Near Time Infinity of Solutions of the Vorticity Equations
  • Self-Similar Solutions for Various Equations
  • Useful Analytic Tools
  • Various Properties of Solutions of the Heat Equation
  • Compactness Theorems
  • Calculus Inequalities
  • Convergence Theorems in the Theory of Integration.

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