Classification of local asymptotics for solutions to heat equations with inverse-square potentials

DOI10.3934/DCDS.2011.31.65zbMath1235.35181arXiv1002.3566OpenAlexW2949360151MaRDI QIDQ717853

Veronica Felli, A. R. M. Primo

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3566

zbMATH Keywords

parabolic equationunique continuationHardy's inequalityAlmgren monotonicity formulalocal asymptoticssingular inverse-square potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67) Self-similar solutions to PDEs (35C06)

Related Items (3)

Existence and asymptotic behavior of ground state solutions for asymptotically linear Schrödinger equation with inverse square potential ⋮ Quantitative unique continuation for the heat equation with Coulomb potentials ⋮ On parabolic equations with critical electromagnetic potentials

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