On asymptotics of the Green function and Poisson kernels of a mixed parabolic problem in a cone. II
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Publication:1190756
DOI10.4171/ZAA/428zbMath0784.35040MaRDI QIDQ1190756
Publication date: 26 September 1992
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
existenceuniquenessGreen functionsasymptotic expansionsPoisson kernelsasymptotics near the vertex of the cone
Initial-boundary value problems for higher-order parabolic equations (35K35) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Asymptotic expansions of solutions to PDEs (35C20)
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On the nonstationary Stokes system in a cone ⋮ An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\) ⋮ Asymptotics of solutions of the heat equation in cones and dihedra ⋮ On the Neumann problem for the nonstationary Stokes system in angles and cones ⋮ On the behavior of solutions of the nonstationary Stokes system near the vertex of a cone ⋮ On the nonstationary Stokes system in a cone \((L_p\) theory) ⋮ Asymptotics of solutions of the Poisson equation near straight edges ⋮ Asymptotics of solutions of second order parabolic equations near conical points and edges ⋮ Unnamed Item ⋮ On the nonstationary Stokes system in a cone: asymptotics of solutions at infinity ⋮ Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points ⋮ A refined Green's function estimate of the time measurable parabolic operators with conic domains ⋮ The Dirichlet problem for non‐divergence parabolic equations with discontinuous in time coefficients in a wedge ⋮ ESTIMATES OF GREEN'S FUNCTION FOR SECOND‐ORDER PARABOLIC EQUATIONS NEAR EDGES ⋮ Behavior of solutions of the Neumann problem for the Poisson equation near straight edges
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