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Abstract Parabolic Evolution Equations and Lojasiewicz–Simon Inequality I
- Abstract Theory
Engelsk Paperback
Abstract Parabolic Evolution Equations and Lojasiewicz–Simon Inequality I
- Abstract Theory
Engelsk Paperback

573 kr
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Om denne bog
The classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz-Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz-Simon gradient inequality.

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.

Product detaljer
Sprog:
Engelsk
Sider:
61
ISBN-13:
9789811618956
Indbinding:
Paperback
Udgave:
ISBN-10:
981161895X
Udg. Dato:
1 jun 2021
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Verlag, Singapore
Oplagsdato:
1 jun 2021
Forfatter(e):
Kategori sammenhænge