Elliptic and Parabolic Problems in Non-Smooth Domains

by Ian Wood

Regularity of solutions is an important part of the theory of partial differential equations. In this text, the regularity of solutions to elliptic and parabolic problems in Lipschitz domains is investigated. Maximal regularity estimates are useful when dealing with nonlinear parabolic problems. However, the known maximal regularity results for smooth domains no longer hold in Lp-spaces over Lipschitz domains for the whole range of exponents p. Here,...

• Format: Paperback
• Language: English
• ISBN: 3832510591
• ISBN13: 9783832510596
• Release Date: November 2005
• Publisher: Logos Verlag Berlin
• Length: 136 Pages