Boundary Value Problems for Parabolic Operators in a Time-Varying Domain

Author: Cho Sungwon   Dong Hongjie   Kim Doyoon  

Publisher: Taylor & Francis Ltd

E-ISSN: 1532-4133|40|7|1282-1313

ISSN: 0360-5302

Source: Communications in Partial Differential Equations, Vol.40, Iss.7, 2015-07, pp. : 1282-1313

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Abstract

We prove the existence of unique solutions to Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies an exterior measure condition.