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The Dirichlet problem for second order parabolic operators in non‐cylindrical domains
Author(s) -
Argiolas Roberto,
Grimaldi Anna Piro
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610815
Subject(s) - mathematics , divergence (linguistics) , dirichlet distribution , order (exchange) , dirichlet problem , perturbation (astronomy) , mathematical analysis , parabolic partial differential equation , dirichlet boundary condition , boundary value problem , partial differential equation , physics , philosophy , linguistics , finance , quantum mechanics , economics
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 L p ‐data on the parabolic boundary (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)