Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up

Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up

by Stanislav Antontsev, Sergey Shmarev

Hardcover(2015)

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Product Details

ISBN-13: 9789462391116
Publisher: Atlantis Press
Publication date: 04/01/2015
Series: Atlantis Studies in Differential Equations , #4
Edition description: 2015
Pages: 409
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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 finite 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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