Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\)
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Publication:1935442
DOI10.1007/s11118-012-9288-7zbMath1263.35054OpenAlexW2012152463MaRDI QIDQ1935442
Publication date: 15 February 2013
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-012-9288-7
Smoothness and regularity of solutions to PDEs (35B65) Analyticity in context of PDEs (35A20) A priori estimates in context of PDEs (35B45)
Related Items (12)
On the nonstationary Stokes system in a cone ⋮ Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains ⋮ Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces ⋮ Unnamed Item ⋮ 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 second order parabolic equations near conical points and edges ⋮ Singular behavior of the solution to the stochastic heat equation on a polygonal domain ⋮ Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces ⋮ Compressible Navier-Stokes equations in a polyhedral cylinder with inflow boundary condition
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