Evolution Pdes with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-Up

by Stanislav Antontsev and Sergey Shmarev

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...

• Format: Hardcover
• Language: English
• ISBN: 9462391114
• ISBN13: 9789462391116
• Release Date: April 2015
• Publisher: Atlantis Press
• Length: 409 Pages
• Weight: 1.70 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"