Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8733Inverse Problem of Determination of Absorbtion Coefficient in Parabolic Equation in a PlaneKamyninV LКафедра высшей математики; Национальный исследовательский ядерный университет «МИФИ»; National Research Nuclear University MEPhI-BukharovaT IКафедра высшей математики; Национальный исследовательский ядерный университет «МИФИ»; National Research Nuclear University MEPhIbukharova_t@mail.ruNational Research Nuclear University MEPhI15022011251508092016Copyright © 2011,2011We consider existence and uniqueness of solution for the inverse problem of determination of the unknown coefficient α(x) at the u(t,x) in nondivergent parabolic equation in a plane. The additional information is given by @op@prepare∫ 0Tu(t,x)χ(t)dt, with χ(t) being the weight function. It should be noted that the coefficients of the equation depend both on time as well as spatial variable. For the problem concerned we obtain conditions sufficient for the existence and the uniqueness of generalized solution. We adduce the examples of the inverse problems satisfying the conditions imposed.inverse problemparabolic equationsintegral observation with respect to spatial variablesобратная задачапараболические уравненияинтегральное наблюдение по пространственным переменным