Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type


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Abstract

We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.

About the authors

A. I. Kozhanov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090

Yu. A. Kosheleva

Sakhalin State University

Email: kozhanov@math.nsc.ru
Russian Federation, 290, Lenina St, Yuzhno-Sakhalinsk, 693008

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