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The Dirichlet problem for second order parabolic operators in non‐cylindrical domains
Authors:Roberto Argiolas  Anna Piro Grimaldi
Institution:1. Dipartimento di Matematica e Informatica, Viale Merello 92–94, 09123 Cagliari, Italy;2. Phone: +39 070 675 5097, Fax: +39 070 675 5601
Abstract:In this paper we develope a perturbation theory for second order parabolic operators in non‐divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with Lp ‐data on the parabolic boundary (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Dirichlet problem  parabolic operator  non‐cylindrical domain
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