Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

DOI10.1090/S0002-9947-08-04485-1zbMath1156.35005arXiv0704.1372MaRDI QIDQ3532554

Seick Kim

Publication date: 28 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1372

zbMATH Keywords

a priori estimatesparabolic systemstwo dimensionsGaussian estimatesGaussian upper boundsystems in divergence form2 spatial dimensions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Second-order parabolic systems (35K40)

Related Items (12)

Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups ⋮ A simple method for finite range decomposition of quadratic forms and Gaussian fields ⋮ Green's functions for parabolic systems of second order in time-varying domains ⋮ Green's functions for elliptic and parabolic systems with Robin-type boundary conditions ⋮ Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains ⋮ Heat kernel for the elliptic system of linear elasticity with boundary conditions ⋮ Optimal Morrey estimate for parabolic equations in divergence form via Green's functions ⋮ Hodograph Transformations and Cauchy Problem to Systems of Nonlinear Parabolic Equations ⋮ Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions ⋮ Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains ⋮ Symmetry groups and fundamental solutions for systems of parabolic equations ⋮ Optimal Local Approximation Spaces for Parabolic Problems

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