Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols

zbMath1505.35239arXiv2012.03615MaRDI QIDQ5060735

P. Branikas, Gerassimos Barbatis

Publication date: 11 January 2023

Full work available at URL: https://arxiv.org/abs/2012.03615

zbMATH Keywords

heat kernel estimateshigher order operatorssingular-degenerate coefficients

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Higher-order parabolic equations (35K25) Singular parabolic equations (35K67) Heat kernel (35K08)

Cites Work

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• SHARP HEAT-KERNEL ESTIMATES FOR HIGHER-ORDER OPERATORS WITH SINGULAR COEFFICIENTS
• Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting
• ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS
• Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
• Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes

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