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arxiv: 1312.2104 · v1 · pith:YIQKFJF6new · submitted 2013-12-07 · 🧮 math.AP

Boundary value problems for parabolic operators in a time-varying domain

classification 🧮 math.AP
keywords boundarydomainoperatorsparabolicproblemsvalueblowupcoefficients
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We prove the existence of unique solutions to the 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 the exterior measure condition.

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