Solutions of the heat equation in domains with singularities

DOI10.1007/BF02310297zbMath0922.35064MaRDI QIDQ1282519

V. N. Aref'ev, Lev A. Bagirov

Publication date: 14 October 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemtime-dependent domaindegenerate operator pencil

Mathematics Subject Classification ID

Heat equation (35K05) PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (10)

Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point ⋮ Study of the heat equation in a symmetric conical type domain of ℝN+1 ⋮ On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ A semilinear problem related to Burgers' equation ⋮ Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\) ⋮ On the regularity of the heat equation solution in non-cylindrical domains: two approaches ⋮ The Dirichlet Problem for the Heat Equation in Domains with Cuspidal Points on the Boundary ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach ⋮ Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains ⋮ Global in Time Results for a Parabolic Equation Solution in Non-rectangular Domains

Cites Work

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• Asymptotic behavior of the solutions of boundary value problems for second-order parabolic equations in the neighborhood of a corner point of the boundary
• Asymptotic behavior of solutions to the Dirichlet problem for parabolic equations in domains with singularities
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Degenerate elliptic‐parabolic equations of second order
• Estimates of Green's function of homogeneous first-boundary problem for a second-order parabolic equation in a noncylindrical region

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