| 期刊全稱 | Abstract Parabolic Evolution Equations and ?ojasiewicz–Simon Inequality II | | 期刊簡稱 | Applications | | 影響因子2023 | Atsushi Yagi | | 視頻video | http://file.papertrans.cn/144/143465/143465.mp4 | | 發(fā)行地址 | Demonstrates the asymptotic convergence to stationary solutions for global solutions of abstract parabolic equations.Includes n-dimensional semilinear parabolic equations and higher dimensional Keller | | 學科分類 | SpringerBriefs in Mathematics | | 圖書封面 |  | | 影響因子 | This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the ?ojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four structural assumptions of critical condition, Lyapunov function, angle condition, and gradient inequality. In this volume, with those abstract results reviewed briefly, their applications to concrete parabolic equations are described..Chapter 3 presents a discussion of semilinear parabolic equations of second order in general .n.-dimensional spaces, and Chapter 4 is devoted to treating epitaxial growth equations of fourth order, which incorporate general roughening functions. In Chapter 5 consideration is given to the Keller–Segel equations in one-, two-, and three-dimensionalspaces. Some of these results had already been obtained and published by the author in collaboration with his colleagues. However, by means of the abstract theory described in the first volume, those results can be extended m | | Pindex | Book 2021 |
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