Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains
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Publication:663510
DOI10.1007/s11118-011-9234-0zbMath1242.35067arXiv1007.5429OpenAlexW3098377117MaRDI QIDQ663510
Sungwon Cho, Seick Kim, Hongjie Dong
Publication date: 15 February 2012
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.5429
Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40)
Related Items (14)
Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems ⋮ Global pointwise estimates for Green's matrix of second order elliptic systems ⋮ Green's function for elliptic systems: existence and Delmotte-Deuschel bounds ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ 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 ⋮ Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in \(C^{1,\alpha }\)-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 ⋮ On the existence of mild solutions of the initial-boundary-value problems for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity ⋮ Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients ⋮ Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods ⋮ Neumann functions for second order elliptic systems with measurable coefficients
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