On the approximation of Finsler metrics on Euclidean domains

DOI10.1017/S001309150002054XzbMath0957.35059OpenAlexW2134125662MaRDI QIDQ4487692

Gerassimos Barbatis

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1017/s001309150002054x

zbMATH Keywords

sharp constant in the upper bound for the heat kernel

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) One-parameter semigroups and linear evolution equations (47D06) Asymptotic expansions of solutions to PDEs (35C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (2)

Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients ⋮ Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials

Cites Work

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• Uniformly elliptic operators with measurable coefficients
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• Short time asymptotics for fundamental solutions of higher order parabolic equation
• L ^p Spectral Theory of Higher-Order Elliptic Differential Operators
• ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS
• Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)

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