ОБРАТНАЯ ЗАДАЧА О ВОССТАНОВЛЕНИИ СТАРШЕГО КОЭФФИЦИЕНТА В ДВУМЕРНОМ УРАВНЕНИИ ТЕПЛОПРОВОДНОСТИ

Б.Н. Цыбиков
2017 №1 (2017)  
We consider the inverse problem of recovering a leading coefficient independent of one of the spatial variable y in the two-dimensional heat equation. The overdetermination data is the values of the solution on the cross-section of the domain by the hyperplane $y=0$. The solution is sought in the class of functions whose Fourier image in the variable y is compactly supported in the dual variable. Existence and uniqueness conditions of the solution to this problem in this class are established.
doi:10.25587/svfu.2017.1.8438 fatcat:lh3vtpj2sfcghfgrfolfzgtg5i