Resolvability of a return task for the parabolic equation of a high order with unknown factor of absorption

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Article is devoted to research of the parabolic equation of a high order u t +u хххх + q/(x)u — f(x,t), where together with the decision u(x,t) is looked for as well factor of q(x). At performance of the natural boundary conditions, some conditions of redefinition, conditions of accessory of entrance data a certain functional space proves the theorem of existence of the decision. At the proof the combination of methods of linearization, continuation on parameter and Shauder's theorem is used.

Parabolic equations of a high order, return problems of mathematical physics

Короткий адрес: https://sciup.org/148181251

IDR: 148181251

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