Gaussian upper bounds for fundamental solutions of a family of parabolic equations

DOI10.1007/S00028-011-0128-9zbMath1250.35046OpenAlexW2063385584MaRDI QIDQ434333

Yury A. Alkhutov, Vitali Liskevich

Publication date: 10 July 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0128-9

zbMATH Keywords

fundamental solutionGaussian upper boundsecond-order parabolic equationdivergence-type equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (4)

Hölder continuity of solutions to nonlinear parabolic equations degenerated on a part of the domain ⋮ On the Hölder continuity of solutions to nonlinear parabolic equations degenerating on part of the domain ⋮ The boundary behavior of a solution to the Dirichlet problem for the \(p\)-Laplacian with weight uniformly degenerate on a part of domain with respect to small parameter ⋮ On a Harnack inequality for the elliptic \((p,q)\)-Laplacian

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• Estimates of Nash-Aronson type for a diffusion equation with asymmetric matrix and their applications to homogenization
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• A harnack inequality for parabolic differential equations
• Bounds for the fundamental solution of a parabolic equation

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