Short time asymptotics for fundamental solutions of higher order parabolic equation

DOI10.1080/03605308208820227zbMath0503.35017OpenAlexW1997363017MaRDI QIDQ3969252

Kyril Tintarev

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820227

zbMATH Keywords

Green's functionCauchy problemFinsler metricshort time asymptoticseven-order parabolic equationvariable (time-constant) coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fundamental solutions to PDEs (35A08) Series solutions to PDEs (35C10) Initial value problems for higher-order parabolic equations (35K30)

Related Items (10)

The tunneling effect for a class of difference operators ⋮ On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics ⋮ On the equivalence of heat kernels of second-order parabolic operators ⋮ On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators ⋮ Agmon‐type estimates for a class of jump processes ⋮ Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients ⋮ Spectral theory of singular elliptic operators with measurable coefficients ⋮ Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials ⋮ On the approximation of Finsler metrics on Euclidean domains ⋮ Product formulas for semigroups with elliptic generators

Cites Work

• The spectral function of an elliptic operator
• Off diagonal short time asymptotics for fundamental solution of diffusion equation
• ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS

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