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Evolution PDEs with Nonstandard Growth Conditions

Existence, Uniqueness, Localization, Blow-up
BuchGebunden
409 Seiten
Englisch
Springererschienen am14.04.20152015
The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions.mehr
Verfügbare Formate
BuchGebunden
EUR101,64
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Produkt

KlappentextThe presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions.
Zusammenfassung
The first systematic exposition of the theory of evolution PDEs with nonstandard growth conditions

Specific tools for the study of PDEs with nonstandard growth are developed

New localization effects due to anisotropy and variable nonlinearity are discovered

A number of new not previously published results is included

A review of other approaches and known results is provided

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-94-6239-111-6
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2015
Erscheinungsdatum14.04.2015
Auflage2015
Seiten409 Seiten
SpracheEnglisch
Gewicht748 g
IllustrationenXVII, 409 p. 1 illus.
Artikel-Nr.33726874

Inhalt/Kritik

Inhaltsverzeichnis
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 ï¬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.mehr