On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics

DOI10.1016/j.jde.2018.06.034zbMath1394.35215arXiv1712.02963OpenAlexW2963096114MaRDI QIDQ1669809

P. Branikas, Gerassimos Barbatis

Publication date: 4 September 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02963

zbMATH Keywords

heat kernel estimatesshort time asymptoticshigher order parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order parabolic equations (35K25) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes, Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols

Cites Work

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• Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients