Overview
- Makes an extended version of the Lojasiewicz–Simon inequality more available to certain concrete problems
- Offers a unified method to show asymptotic convergence of solutions for nonlinear parabolic equations and systems
- Covers a range of applications of concrete nonlinear parabolic equations, including the famous Keller–Segel equations
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Łojasiewicz–Simon inequality is extended, which is published here for the first time. In the second version, these abstract results are applied to reaction–diffusion equations with discontinuous coefficients, reaction–diffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the Keller–Segel equations even for higher-dimensional ones.
Authors and Affiliations
Bibliographic Information
Book Title: Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I
Book Subtitle: Abstract Theory
Authors: Atsushi Yagi
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-981-16-1896-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
Softcover ISBN: 978-981-16-1895-6Published: 01 June 2021
eBook ISBN: 978-981-16-1896-3Published: 31 May 2021
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: X, 61
Number of Illustrations: 17 b/w illustrations
Topics: Partial Differential Equations, Functional Analysis, Measure and Integration