Measure Theory and Nonlinear Evolution Equations / / Alberto Tesei, Flavia Smarrazzo.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Smarrazzo, Flavia,; Tesei, Alberto,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Studies in Mathematics , 86
• Physical Description: 1 online resource (XXXIV, 422 p.)
• Other title: Frontmatter --; Contents --; Preface --; Introduction --; Part I: General theory --; Outline of Part I --; 1 Measure theory --; 2 Scalar integration and differentiation --; 3 Function spaces and capacity --; 4 Vector integration --; 5 Sequences of finite Radon measures --; Part II: Applications --; Outline of Part II --; 6 Case study 1: quasilinear parabolic equations --; 7 Case study 2: hyperbolic conservation laws --; 8 Case study 3: forward–backward parabolic equations --; Bibliography --; Appendix A Topological spaces --; List of Symbols --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110556902; 9783110766820; 9783110993899; 9783110994810; 9783110993868; 9783110770445
• ISSN: 0179-0986
• DOI: 10.1515/9783110556902
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Alberto Tesei, Flavia Smarrazzo.

This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided.