Boundary Value Problems for Parabolic Operators in a Time-Varying Domain
Sungwon Cho, Hongjie Dong, Doyoon Kim · Communications in Partial Differential Equations · 2015
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.