Uniqueness for degenerate parabolic equations in weighted L1 spaces

Camilla Nobili; Fabio Punzo

doi:10.1007/s00028-022-00805-7

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Uniqueness for degenerate parabolic equations in weighted L1 spaces

Journal article

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Uniqueness for degenerate parabolic equations in weighted L1 spaces

Camilla Nobili and Fabio Punzo

Journal of evolution equations, Vol.22(2)

26/05/2022

DOI: https://doi.org/10.1007/s00028-022-00805-7

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Analysis

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Mathematics and Statistics

Mathematics

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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Title: Uniqueness for degenerate parabolic equations in weighted L1 spaces
Creators: Camilla Nobili - University of Surrey, Department of Mathematics
Fabio Punzo - Politecnico di Milano
Publication Details: Journal of evolution equations, Vol.22(2)
Publisher: Springer International Publishing
Date published: 26/05/2022
Date accepted: 25/04/2022
Identifiers: 99659065702346
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

Uniqueness for degenerate parabolic equations in weighted L1 spaces

Abstract

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