Mathematical Research Letters

Volume 13, Issue 5, September 2006 pp. 825-831.

Parabolic initial boundary value problems in nonsmooth cylinders with data in anisotropic Besov spaces

Authors: Tunde Jakab and Marius Mitrea
Author institution: University of Missouri

Summary: We prove sharp well-posedness results for the Poisson problem for the heat operator in arbitrary Lipschitz cylinders with Dirichlet and Neumann boundary conditions, when the boundary data are in parabolic Besov spaces.

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