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

• Main Authors: Antontsev, Stanislav (Author), Shmarev, Sergey (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
• Series: Atlantis Studies in Differential Equations, 4
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Partial Differential Equations.; Functional Analysis.

This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account...