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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I: Abstract Theory
By Atsushi Yagi
eBook
$29.99
By Atsushi Yagi
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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...
In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations...
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