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.
Bibliographical noteFunding Information:
S. Cho was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (2012-0003253). H. Dong was partially supported by the NSF under agreement DMS-1056737. D. Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A2054865).
© 2015, Taylor & Francis Group, LLC.
- Blowup low-order coefficients
- Exterior measure condition
- Parabolic Dirichlet boundary value problems
- Time-varying domain
- Vanishing mean oscillation
ASJC Scopus subject areas
- Applied Mathematics