Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions
2008 (English)In: Zeitschrift für Angewandte Mathematik und Physik, ISSN 0044-2275, Vol. 59, no 2, 264-280 p.Article in journal (Refereed) Published
The Poisson equation in two-dimensional case for a nonsmooth domain is considered. The geometrical domain has a cut (crack) where inequality type boundary conditions are imposed. A behavior of the solution near the crack tips is analyzed. In particular, estimates for the second derivatives in a weighted Sobolev space are obtained and asymptotics of the solution near crack tips is established. © 2007 Birkhaeuser.
Place, publisher, year, edition, pages
2008. Vol. 59, no 2, 264-280 p.
IdentifiersURN: urn:nbn:se:liu:diva-44660DOI: 10.1007/s00033-007-6032-zLocal ID: 77248OAI: oai:DiVA.org:liu-44660DiVA: diva2:265522