Spectral theory of singular elliptic operators with measurable coefficients

DOI10.1006/jfan.1997.3195zbMath0907.35090OpenAlexW2125213383MaRDI QIDQ1266254

Gerassimos Barbatis

Publication date: 15 February 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3195

zbMATH Keywords

heat kernelweighted function space\(L^p\)-spectrumsuperellipticity condition

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols, Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients, Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions

Cites Work

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• On \(L^ p\)-spectrum of elliptic operators
• \(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
• Heat kernels of second order complex elliptic operators and applications
• Uniformly elliptic operators with measurable coefficients
• Weighted Interpolation Inequalities and Embeddings in Rⁿ
• Interpolation inequalities with weights
• Weighted Interpolation Inequalities of Sum and Product form in R ⁿ
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• L ¹ Properties of Two Classes of Singular Second Order Elliptic Operators
• Short time asymptotics for fundamental solutions of higher order parabolic equation
• Sobolev Interpolation Inequalities with Weights
• Ultracontractive Heat Kernel Bounds for Singular Second Order Elliptic Operators
• On Weighted Sobolev Interpolation Inequalities
• Non-Gaussian Aspects of Heat Kernel Behaviour
• High order divergence-form elliptic operators on Lie groups
• Equivalent Norms for Sobolev Spaces
• ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS