Measure theory and nonlinear evolution equations
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The se…
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- Full title :Measure theory and nonlinear evolution equations / Flavia Smarrazzo and Alberto Tesei.
Summary
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.
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.
Edition Statements
- Publication Date:©2022
Publication Statements
- Publisher(s):Walter de Gruyter GmbH
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2022
The Physical Object
- Description:1 online resource (xxxiii, 420 pages) : : illustrations
Edition Identifiers
- ISBN:9783110556902, 3110556901, 9783110556049, 3110556049
- oclc:on1311318649
- LC Classification:QA377.3
- Dewey Decimal:515.353
Table of Contents
Measure theory -- Scalar integration and differentiation -- Function spaces and capacity -- Vector integration -- Sequences of finite Radon measures -- Case study 1: Quasilinear parabolic equations -- Case study 2: Hyperbolic conservation laws -- Case study 3: Forward-backward parabolic equations.
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