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Uniqueness for degenerate parabolic equations in weighted $L^1$ spaces (2011.06867v2)
Published 13 Nov 2020 in math.AP
Abstract: We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, uniqueness is obtained for solutions that satisfy an appropriate integral condition; in particular, such condition holds for possibly unbounded solutions belonging to a suitable weighted $L1$ space.
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