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.
- Blowup low-order coefficients
- Exterior measure condition
- Parabolic Dirichlet boundary value problems
- Time-varying domain
- Vanishing mean oscillation
ASJC Scopus subject areas
- Applied Mathematics