Analytic semigroup approach to higher order parabolic problems - Asai, Tomoro
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The subject of this book is to apply the analytic semigroup theory to solve various kinds of fourth order problems. In Chapter 2, we study the Cauchy problem for the surface diffusion flow and the Willmore flow in one dimensional case. In particular, we focus our attention to relax the regularity assumption on the initial curve. In Chapter 3, we extend the results of Chapter 2 for multi-dimensional case of various kinds of fourth order parabolic equations via maximal regularity. In the last Chapter, we consider the self-similar solution for the surface diffusion flow with boundary conditions.

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Produktbeschreibung
The subject of this book is to apply the analytic semigroup theory to solve various kinds of fourth order problems. In Chapter 2, we study the Cauchy problem for the surface diffusion flow and the Willmore flow in one dimensional case. In particular, we focus our attention to relax the regularity assumption on the initial curve. In Chapter 3, we extend the results of Chapter 2 for multi-dimensional case of various kinds of fourth order parabolic equations via maximal regularity. In the last Chapter, we consider the self-similar solution for the surface diffusion flow with boundary conditions.
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Autorenporträt
2013 PhD in Mathematical Sciences. Dept. of Math, the University of Tokyo. 2013 Research Fellow, Dept. of Math, Hokkaido University. 2014 Research Fellow, Dept. of Math, the University of Tokyo. 2015-present, Project Assistant Professor, Dept. of Information Sciences, Hiroshima City University.