Uniqueness for degenerate parabolic equations in weighted $L^1$ spaces

Camilla Nobili; Fabio Punzo

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arXiv · 2011.06867

Uniqueness for degenerate parabolic equations in weighted $L^1$ spaces

Camilla Nobili·Fabio Punzo

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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 $L^1$ space.

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Camilla Nobili, Fabio Punzo. 2020-11-13. Uniqueness for degenerate parabolic equations in weighted $L^1$ spaces. https://arxiv.org/abs/2011.06867

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