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.
Produktkennzeichnungen
ISBN-10
3659511633
ISBN-13
9783659511639
eBay Product ID (ePID)
211649264
Produkt Hauptmerkmale
Verlag
Lap Lambert Academic Publishing
Erscheinungsjahr
2015
Anzahl der Seiten
100 Seiten
Sprache
Englisch
Publikationsname
Analytic Semigroup Approach to Higher Order Parabolic Problems