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...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijät: Giga, Mi-Ho, 19..-...., chercheuse en mathématiques, Giga, Yoshikazu, 1955-...., mathématicien (Tekijä), Saal, Jürgen, 19..-...., mathématicien (Tekijä)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Painos:1st ed. 2010.
Sarja:Progress in Nonlinear Differential Equations and Their Applications 79
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Nonlinear partial differential equations, asymptotic behavior of solutions and self-similar solutions, Mi-Ho Giga, Yoshikaku Giga, Jürgen Saal, 2010, Boston, Birkhäuser, 1 vol. (XVIII-294 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4173-3
Sisällysluettelo:
  • 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.