DOAJ Open Access 2021

To the solution of the Solonnikov-Fasano problem with boundary moving on arbitrary law x = γ(t).

M.T. Jenaliyev M.I. Ramazanov A.O. Tanin

Abstrak

In this paper we study the solvability of the boundary value problem for the heat equation in a domain that degenerates into a point at the initial moment of time. In this case, the boundary changing with time moves according to an arbitrary law x = γ(t). Using the generalized heat potentials, the problem under study is reduced to a pseudo-Volterra integral equation such that the norm of the integral operator is equal to one and it is shown that the corresponding homogeneous integral equation has a nonzero solution.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

M.T. Jenaliyev

M.I. Ramazanov

A.O. Tanin

Format Sitasi

APA MLA BibTeX

Jenaliyev, M., Ramazanov, M., Tanin, A. (2021). To the solution of the Solonnikov-Fasano problem with boundary moving on arbitrary law x = γ(t).. https://doi.org/10.31489/2021m1/37-49

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m1/37-49
Akses: Open Access ✓