Nonlinear anisotropic boundary value problems - Regularity results and multiscale discretizations

authored by: Reinhard Hochmuth
Abstract: Various nonlinear anisotropic boundary value problems, which lead to unbounded functionals satisfying the Palais-Smale condition with respect to anisotropic Sobolev spaces were examined. Homogeneous Dirichlet problems with respect to nonlinear anisotropic partial differential operators were considered. In particular, the Zabusky equation, a nonhypoelliptic squared wave equation and a Boussinesq equation were investigated.
External Organisation(s): Freie Universität Berlin (FU Berlin)
Type: Article
Journal: Nonlinear Analysis, Theory, Methods and Applications
Volume: 46
Pages: 1-18
No. of pages: 18
ISSN: 0362-546X
Publication date: 10.2001
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/S0362-546X(99)00427-7 (Access: Unknown)
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