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.
Original language | English |
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Pages (from-to) | 1282-1313 |
Number of pages | 32 |
Journal | Communications in Partial Differential Equations |
Volume | 40 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2015 Jul 3 |
Externally published | Yes |
Keywords
- Blowup low-order coefficients
- Exterior measure condition
- Parabolic Dirichlet boundary value problems
- Time-varying domain
- Vanishing mean oscillation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics