Asymptotics of solutions of the heat equation in cones and dihedra under minimal assumptions on the boundary

DOI10.1186/1687-2770-2012-142zbMath1278.35121OpenAlexW2124523880WikidataQ59291084 ScholiaQ59291084MaRDI QIDQ384587

Vladimir A. Kozlov, Jürgen Rossmann

Publication date: 28 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-142

zbMATH Keywords

\((n-m)\)-dimensional edge\(m\)-dimensional cone

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Heat kernel (35K08)

Related Items (7)

On the nonstationary Stokes system in a cone ⋮ An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\) ⋮ On reconstruction of a source term depending on time and space variables in a parabolic mixed problem ⋮ Asymptotics of solutions of the Poisson equation near straight edges ⋮ Asymptotics of solutions of second order parabolic equations near conical points and edges ⋮ On the nonstationary Stokes system in a cone: asymptotics of solutions at infinity ⋮ On the regularity of the stochastic heat equation on polygonal domains in \(\mathbb{R}^2\)

Cites Work

• The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients
• [Russian Text Ignored.]

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