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Boundary Value Problems for Parabolic Operators in a Time-Varying Domain |
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| Authors: | Sungwon Cho Hongjie Dong |
| Institution: | 1. Department of Mathematics Education , Gwangju National University of Education , Gwangju , Republic of Korea;2. Division of Applied Mathematics , Brown University , Providence , Rhode Island , USA |
| 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. |
| Keywords: | Blowup low-order coefficients Exterior measure condition Parabolic Dirichlet boundary value problems Time-varying domain Vanishing mean oscillation |