Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains

DOI10.1007/s00233-013-9480-0zbMath1283.47048OpenAlexW2044364007MaRDI QIDQ382950

Mohamed Selmi, Sami Mourou

Publication date: 22 November 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9480-0

zbMATH Keywords

boundary conditionsunbounded coefficientsGaussian boundsheat kernelsmeasurable coefficientssecond order elliptic operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Heat kernel (35K08)

Related Items

Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some classes of non-analytic Markov semigroups
• Singular integral operators with non-smooth kernels on irregular domains
• Gagliardo-Nirenberg inequalities for semigroups of operators and applications
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains
• Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. I.
• Plancherel-type estimates and sharp spectral multipliers
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Gaussian estimates and \(L^p\)-boundedness of Riesz means
• Gaussian estimates for elliptic operators with unbounded drift
• Parabolic equations with unbounded coefficients
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• Riesz transforms for
• Fundamental solutions of parabolic differential equations and boundary value problems
• Solution of certain parabolic equations with unbounded coefficients and its application to nonlinear filtering
• Existence, uniqueness, and asymptotic behavior of solutions to a class of Zakai equations with unbounded coefficients
• Riesz transforms for $1\le p\le 2$
• One-Parameter Semigroups for Linear Evolution Equations
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Gaussian Estimates and Holomorphy of Semigroups
• L ^p Spectral Independence and L ¹ Analyticity
• Gaussian Estimates and Holomorphy of Semigroups on L ^p Spaces
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
• Uniqueness of positive solutions of parabolic equations with unbounded coefficients
• Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss

This page was built for publication: Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains