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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I: Abstract Theory

Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I: Abstract Theory

Paperback

Series: Springerbriefs in Mathematics

General Mathematics

ISBN10: 981161895X
ISBN13: 9789811618956
Publisher: Springer
Published: Jun 1 2021
Pages: 61
Weight: 0.25
Height: 0.15 Width: 6.14 Depth: 9.21
Language: English
The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-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 Lojasiewicz-Simon gradient inequality.

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General Mathematics