Existence and uniqueness of the solution of a mixed problem for a parabolic equation under nonconventional boundary conditions

Autor:	Mammadov, Yu. A., Ahmadov, H. I.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics
Zdroj:	Journal of Physical Mathematics & its Applications, 2024, Vol. 2(4): 1-10
Druh dokumentu:	Working Paper
Popis:	In this study, we investigate a mixed problem linked to a second-order parabolic equation, characterized by temporal dependencies and variable~coefficients, and constrained by non-local, non-self-adjoint boundary conditions. By defining precise conditions on the input data, we establish the unique solvability of the problem through a synthesis of the residue and contour integral methods. Moreover, our research yields an explicit analytical solution, facilitating the direct resolution of the stated problem. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.16109 Zobrazit plný text záznamu View this record from Arxiv