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Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions
(Univ Babes-Bolyai, 2015)
In this paper we study the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. We prove an existence uniqueness of the weak generalized solution and also continuous ...
An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity ...