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Measure Theory and Nonlinear Evolution Equations
-
Flavia Smarrazzo
Language:
English
Published/Copyright:
2022
About this book
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.
- Presents basic and advanced measure theory with a view toward PDE's
- Covers Radon and Young measures, capacity, vector-valued functions, weak convergence, etc.
- Of interest to graduate students and researchers working in the analysis of PDE's
Author / Editor information
Flavia Smarrazzo, Campus Bio-Medico University, Italy; Alberto Tesei, Sapienza University of Rome, Italy.
Topics
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Frontmatter
I -
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Contents
V -
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Preface
XI -
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Introduction
XIII - Part I: General theory
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Outline of Part I
1 -
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1 Measure theory
5 -
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2 Scalar integration and differentiation
53 -
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3 Function spaces and capacity
109 -
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4 Vector integration
153 -
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5 Sequences of finite Radon measures
219 - Part II: Applications
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Outline of Part II
275 -
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6 Case study 1: quasilinear parabolic equations
279 -
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7 Case study 2: hyperbolic conservation laws
321 -
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8 Case study 3: forward–backward parabolic equations
371 -
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Bibliography
403 -
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Appendix A Topological spaces
409 -
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List of Symbols
415 -
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Index
417
Publishing information
Pages and Images/Illustrations in book
eBook published on:
April 19, 2022
eBook ISBN:
9783110556902
Hardcover published on:
May 3, 2022
Hardcover ISBN:
9783110556001
Pages and Images/Illustrations in book
Front matter:
34
Main content:
422
Illustrations:
2
Keywords for this book
Kapazität; Maßtheorie; Quasilineare parabolische Differentialgleichung; Radon-Maß; Young-Maß
Audience(s) for this book
Graduate students and researchers in mathematical analysis and partial differential equations.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
