The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains
Dorina Mitrea - University of Missouri-Columb, Columbia, MO 65211, United States (email)
Abstract: We formulate and solve the Poisson problem for the exterior derivative operator with Dirichlet boundary condition in Lipschitz domains, of arbitrary topology, for data in Besov and Triebel-Lizorkin spaces.
Keywords: Exterior derivative, divergence equation, differential forms, Poisson problem, Dirichlet condition, Lipschitz domain, Sobolev, Besov, Triebel-Lizorkin spaces.
Received: January 2008; Revised: June 2008; Available Online: August 2008.
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