On a boundary value problem for the heat equation and a singular integral equation associated with it
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Publication:2242641
DOI10.1016/j.amc.2021.126009OpenAlexW3128238248MaRDI QIDQ2242641
Sagyndyk Iskakov, Muvasharkhan T. Jenaliyev, Meiramkul M. Amangaliyeva, Murat I. Ramazanov
Publication date: 10 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126009
resolventheat equationintegral operatorVolterra integral equationsingular integral equationdegenerate domain
Heat equation (35K05) Integral operators (45P05) Volterra integral equations (45D05) Singular integral equations (45Exx)
Related Items (4)
On the solvability of the Burgers equation with dynamic boundary conditions in a degenerating domain ⋮ On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations ⋮ On the solvability of a boundary value problem for a two-dimensional system of Navier-Stokes equations in a truncated cone ⋮ On an inverse problem for a linearized system of Navier-Stokes equations with a final overdetermination condition
Cites Work
- On one homogeneous problem for the heat equation in an infinite angular domain
- Resolution of a high-order parabolic equation in conical time-dependent domains of \(\mathbb R^3\)
- About Dirichlet boundary value problem for the heat equation in the infinite angular domain
- On the regularity of the heat equation solution in non-cylindrical domains: two approaches
- On a Volterra equation of the second kind with `incompressible' kernel
- Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)
- On the resolution of a parabolic equation in a nonregular domain of ℝ^3
- The resolvent and the particular solution of one singular integral equation
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