Evolution pdes with nonstandard growth conditions : existence, uniqueness, localization, blow-up / Stanislav Antontsev, Sergey Shmarev.
Tipo de material:
TextoSeries Atlantis Studies in Differential Equations ; 4Editor: Paris : Atlantis Press : Imprint: Atlantis Press, 2015Descripción: xvii, 409 páginas : 1 ilustracionesTipo de contenido: - texto
- computadora
- recurso en línea
- 9789462391123
- QA370-380
Contenidos:
The function spaces -- A porous medium equation with variable nonlinearity -- Localization of solutions of the generalized Porous Medium Equation -- Anisotropic equations with variable growth and coercivity conditions -- Space localization of energy solutions -- Extinction in a ?nite time and the large time behavior -- Blow-up in equations with variable nonlinearity -- Equations with double isotropic nonlinearity -- Strong solutions of doubly nonlinear anisotropic equations -- Anisotropic equations with double nonlinearity: blow-up and vanishing -- Wave equation with p(x, t )-Laplacian -- Semilinear hyperbolic equations.
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The function spaces -- A porous medium equation with variable nonlinearity -- Localization of solutions of the generalized Porous Medium Equation -- Anisotropic equations with variable growth and coercivity conditions -- Space localization of energy solutions -- Extinction in a ?nite time and the large time behavior -- Blow-up in equations with variable nonlinearity -- Equations with double isotropic nonlinearity -- Strong solutions of doubly nonlinear anisotropic equations -- Anisotropic equations with double nonlinearity: blow-up and vanishing -- Wave equation with p(x, t )-Laplacian -- Semilinear hyperbolic equations.
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