Evolution PDEs with Nonstandard Growth Conditions Existence, Uniqueness, Localization, Blow-up By: Stanislav Antontsev; Sergey Shmarev Publisher: Atlantis Press Print ISBN: 9789462391116, 9462391114 eText ISBN: 9789462391123, 9462391122 Copyright year: 2015 Format: PDF Available from $ 119.00 USD SKU 9789462391123 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 of recent results. An overview of other approaches to the study of PDEs of this kind is provided. 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. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth. Download eBook Free: https://ouo.io/MudKNE
