Статья

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

Russian Mathematicsjournal2019en

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.

Темы

Differential Equations and Boundary Problems Numerical methods in inverse problems advanced mathematical theories

Идентификаторы

DOI: 10.3103/s1066369x19060021

Цитирования и источники

Цитирований: 11 Использованных источников: 12

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