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Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition
(Springer International Publishing, 2014)
This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence ...
An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
(Springer International Publishing Ag, 2014)
In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered. Under some natural regularity and ...