Nonlocal Inverse Problem for a Parabolic Equation with Degeneration
We establish conditions for the existence and uniqueness of a classical solution of the inverse problem of determination of the time-dependent coefficient of the higher-order derivative in a parabolic equation with degeneration in the coefficient of the time derivative. We impose boundary conditions of the second kind and a nonlocal overdetermination condition. The case of weak degeneration is investigated.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 847-863.
Citation Example: Huzyk N. M. Nonlocal Inverse Problem for a Parabolic Equation with Degeneration // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 765–779.