A Linear Inverse Problem for a Multidimensional Mixed-Type Second-Order Equation of the First-Kind
С. З. ДжамаловGubkin Russian State University of Oil and Gas of Tashkent, 34 Durmon yuli str., Tashkent, 100125, Republic of UzbekistanRavshan AshurovInstitute of Mathematics, Uzbekistan Academy of Sciences, 81 Mirzo Ulugbek str., Akademgorodok, Tashkent, 100170, Republic of Uzbekistan
ABI
Аннотация
In this paper, we study the well-posedness of a linear inverse problem for a mixed-type second-order multidimensional equation of the first kind. We prove the unique solvability of this problem in a certain function class with the help of “ε-regularization”, a priori estimates, and successive approximation methods.
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