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dc.contributor.authorAbdulla, Ugur G.
dc.date.accessioned2014-11-18T14:54:05Z
dc.date.available2014-11-18T14:54:05Z
dc.date.issued2006-11-30
dc.identifier.citationAbdulla, U. G. (2007). Reaction-Diffusion in Nonsmooth and Closed Domains. Boundary Value Problems, 2007.en_US
dc.identifier.urihttp://hdl.handle.net/11141/409
dc.description.abstractWe investigate the Dirichlet problem for the parabolic equation in a nonsmooth and closed domain possibly formed with irregular surfaces and having a characteristic vertex point. Existence, boundary regularity, uniqueness, and comparison results are established. The main objective of the paper is to express the criteria for the well-posedness in terms of the local modulus of lower semicontinuity of the boundary manifold. The two key problems in that context are the boundary regularity of the weak solution and the question whether any weak solution is at the same time a viscosity solution.en_US
dc.language.isoen_USen_US
dc.rightsThis published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.en_US
dc.rights.urihttp://www.hindawi.com/oa/en_US
dc.titleReaction-Diffusion in Nonsmooth and Closed Domainsen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2007/31261


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