On the eventual local positivity for polyharmonic heat equations

DOI10.1090/proc/14565zbMath1428.35154OpenAlexW2916532820WikidataQ128346736 ScholiaQ128346736MaRDI QIDQ5232929

Lucas C. F. Ferreira, Vanderley A. Jun. Ferreira

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14565

zbMATH Keywords

fundamental solutionspatial decaylocal positivityhigher order linear parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Higher-order parabolic equations (35K25) Fractional partial differential equations (35R11)

Related Items (7)

Evolution equations with eventually positive solutions ⋮ Spectral properties of locally eventually positive operator semigroups ⋮ Effect of decay rates of initial data on the sign of solutions to Cauchy problems of polyharmonic heat equations ⋮ EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS ⋮ Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations ⋮ Homotopy regularization for a high-order parabolic equation ⋮ Bi-Kolmogorov type operators And weighted Rellich's inequalities

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