Asymptotic behavior of solutions to the Dirichlet problem for parabolic equations in domains with singularities
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Publication:1358446
DOI10.1007/BF02312460zbMath0872.35021OpenAlexW2085650341MaRDI QIDQ1358446
Publication date: 14 July 1997
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02312460
PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15)
Related Items (8)
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 ⋮ Unnamed Item ⋮ 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 ⋮ Solutions of the heat equation in domains with singularities ⋮ On a Second Order Linear Parabolic Equation with Variable Coefficients in a Non-Regular Domain of R³
Cites Work
- Asymptotic behavior of the solutions of boundary value problems for second-order parabolic equations in the neighborhood of a corner point of the boundary
- 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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