Green's function for second order parabolic systems with Neumann boundary condition

DOI10.1016/j.jde.2013.01.003zbMath1263.35051arXiv1301.1537OpenAlexW2067354701MaRDI QIDQ1943477

Seick Kim, Jongkeun Choi

Publication date: 20 March 2013

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

Full work available at URL: https://arxiv.org/abs/1301.1537

zbMATH Keywords

Neumann heat kernelmeasurable coefficientsNeumann functionglobal Gaussian boundsgrowth estimate near the pole

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10) Second-order parabolic systems (35K40) Heat kernel (35K08)

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Unnamed Item ⋮ Green's functions for elliptic and parabolic systems with Robin-type boundary conditions ⋮ Explicit estimates on a mixed Neumann--Robin--Cauchy problem ⋮ Gaussian lower bound for the Neumann Green function of a general parabolic operator ⋮ Asymptotic profile of solutions to the heat equation on thin plate with boundary heating ⋮ 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 ⋮ Green functions of conormal derivative problems for stationary Stokes system ⋮ Blowup time estimates for the heat equation with a nonlocal boundary condition ⋮ Local boundedness property for parabolic BVP's and the Gaussian upper bound for their Green functions

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