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M.A. Lavrent’ev, V.G. Romanov, S.P. Shishatskii (1980)
Nekorrektnye zadachi matematicheskoi fiziki i analiza (Ill-Posed Problems of Mathematical Physics and Analysis)
Michael Vogelius (2013)
Inverse Problems for Partial Differential Equations
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Identification Problems of Wave Phenomena
V.G. Romanov (1984)
Obratnye zadachi matematicheskoi fiziki (Inverse Problems of Mathematical Physics)
S.I. Kabanikhin, A. Lorenzi (1999)
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S.I. Kabanikhin (2008)
Obratnye i nekorrektnye zadachi (Inverse and Ill-Posed Problems)
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Obratnye i nekorrektnye zadachi (Inverse and Ill-Posed Problems), Novosibirsk: Sibirsk
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Methods of Mathematical Physics
A. Denisov, E. Shirkova (2013)
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A. Denisov (2002)
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M. Lavrentʹev, V. Romanov, S. Shishatskiĭ (1986)
Ill-Posed Problems of Mathematical Physics and Analysis
Global Co., A. Prilepko, Dmitry Orlovsky, I. Vasin (2000)
Methods for solving inverse problems in mathematical physics
A.N. Tikhonov, A.A. Samarskii (1999)
Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics)
A problem with data on the characteristics is considered for a quasilinear hyperbolic equation. The inverse problem of determining two unknown coefficients of the equation from some additional information about the solution is posed. One of the unknown coefficients depends on the independent variable, and the other, on the solution of the equation. Uniqueness theorems are proved for the solution of the inverse problem. The proof is based on the derivation of the integro-functional equation and the analysis of the uniqueness of its solution.
Differential Equations – Springer Journals
Published: Oct 13, 2018
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