Two-sided global estimates of the Green's function of parabolic equations

DOI10.1007/s11118-006-9026-0zbMath1103.35307OpenAlexW1997953595MaRDI QIDQ854748

Sungwon Cho

Publication date: 6 December 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-006-9026-0

zbMATH Keywords

Green's functionparabolic operatordivergence form

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Boundary behavior of harmonic functions in higher dimensions (31B25) Second-order parabolic equations (35K10)

Related Items (12)

Estimates of Dirichlet heat kernels for subordinate Brownian motions ⋮ On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in \(C^{1,\alpha }\)-domains ⋮ Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains ⋮ Gaussian lower bound for the Neumann Green function of a general parabolic operator ⋮ Optimal Morrey estimate for parabolic equations in divergence form via Green's functions ⋮ On the boundary point principle for divergence-type equations ⋮ Estimates of Dirichlet heat kernel for symmetric Markov processes ⋮ Blow-ups of caloric measure in time varying domains and applications to two-phase problems ⋮ A refined Green's function estimate of the time measurable parabolic operators with conic domains ⋮ Estimates for Dirichlet-to-Neumann maps as integro-differential operators

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