Geodesic
A mixed problem for the heat equation with advanced time in boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 29-47.

Voir la notice de l'article provenant de la source Math-Net.Ru

One-dimensional mixed problem for the heat equation is studied, with time advance in nonlocal and non-self-adjoint boundary conditions, describing the real physical process. Under minimal conditions on the initial data, unique solvability is proved and an explicit representation for the solution is obtained.
Keywords: The mixed problem, deviation on time, residue method. 
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Yu. A. Mammadov; H. I. Ahmadov. A mixed problem for the heat equation with advanced time in boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 29-47. http://geodesic.mathdoc.fr/item/IVM_2020_3_a2/

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