Operator Formulas in Inverse Problems for Evolution Equations


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Abstract

We present general representations of solutions to the inverse problems for evolution equations and write out the second kind equations related to construction of special solutions to nonlinear equations generated by mappings of the Euclidean spaces.

About the authors

N. L. Abasheeva

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

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

Yu. E. Anikonov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

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

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