Aggregation equations with gradient potential as Radon measure and initial data in Besov‐Morrey spaces

DOI10.1002/MMA.6355zbMath1451.35238OpenAlexW3011674543MaRDI QIDQ5131582

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Publication date: 9 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6355

zbMATH Keywords

asymptotic behaviorself-similaritychemotaxisMorrey spacesBesov-Morrey spacesnonlinear viscous transport equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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