期刊全称 | Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I | 期刊简称 | Abstract Theory | 影响因子2023 | Atsushi Yagi | 视频video | http://file.papertrans.cn/144/143464/143464.mp4 | 发行地址 | 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 eq | 学科分类 | SpringerBriefs in Mathematics | 图书封面 |  | 影响因子 | 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.. | Pindex | Book 2021 |
The information of publication is updating
|
|