Analytic semigroup approach to higher order parabolic problems

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29,90 

ISBN: 3659511633
ISBN 13: 9783659511639
Autor: Asai, Tomoro
Verlag: LAP LAMBERT Academic Publishing
Umfang: 100 S.
Erscheinungsdatum: 14.04.2015
Auflage: 1/2015
Format: 0.7 x 22 x 15
Gewicht: 167 g
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 8068451 Kategorie:

Beschreibung

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.

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.

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