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P. Bassanini, A. Elcrat (1997)
Elliptic Partial Differential Equations of Second Order
OM Alifanov (1979)
Identifikatsiya protsessov teploobmena letatel’nykh apparatov (vvedenie v teoriyu obratnykh zadach)
AS Leonov (2009)
Reshenie nekorrektno postavlennykh zadach
V. Solov'ev (2006)
Inverse problems for elliptic equations on the plane: IDifferential Equations, 42
NL Gol’dman (1999)
Obratnye zadachi Stefana. Teoriya i metody resheniya
VG Romanov (1984)
Obratnye zadachi matematicheskoi fiziki
A. Khaidarov (1990)
A class of inverse problems for elliptic equationsSiberian Mathematical Journal, 31
M. Lavrentʹev, V. Romanov, S. Shishatskiĭ (1986)
Ill-Posed Problems of Mathematical Physics and Analysis
AA Samarskii, LP Vabishchevich (2007)
Chislennye metody resheniya obratnykh zadach matematicheskoi fiziki
(1955)
Translated under the title Teoriya obyknovennykh differentsial'nykh uravnenii
OA Ladyzhenskaya, NN Ural’tseva (1973)
Lineinye i kvazilineinye uravneniya ellipticheskogo tipa
(2007)
Chislennye metody resheniya obratnykh zadach matematicheskoi fiziki (Numerical Methods for Solving
AI Prilepko, DG Orlovsky, IA Vasin (2000)
Methods for Solving Inverse Problems in Mathematical Physics, New York
Michael Vogelius (2013)
Inverse Problems for Partial Differential Equations
AI Prilepko (1992)
Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza
(1983)
Translated under the title Ellipticheskie differentsial'nye uravneniya s chastnymi proizvodnymi vtorogo poryadka
(1999)
Obratnye zadachi Stefana. Teoriya i metody resheniya (Stefan Inverse Problems. Theory and Solution Methods)
(2007)
Inverse Problems of Determining the Source and Coefficient in an Elliptic Equation in a Rectangle
(1995)
Nelineinye nekorrektnye zadachi (Nonlinear Ill-Posed Problems)
E Coddington, N Levinson (1955)
Theory of Ordinary Differential Equations
AM Denisov (1994)
Vvedenie v teoriyu obratnykh zadach
MM Lavrent’ev, VG Romanov, SP Shishatskii (1980)
Nekorrektnye zadachi matematicheskoi fiziki i analiza
AN Tikhonov, AS Leonov, AG Yagola (1995)
Nelineinye nekorrektnye zadachi
VV Solov’ev (2006)
Inverse Problems for Elliptic Equations on the Plane. IDiffer. Uravn., 42
A. Bukhgeǐm (2000)
Introduction to the Theory of Inverse Problems
(1973)
Lineinye i kvazilineinye uravneniya ellipticheskogo tipa (Linear and Quasilinear Equations of Elliptic Type)
YuE Anikonov (1978)
Nekotorye metody issledovaniya mnogomernykh obratnykh zadach
We study sufficient conditions for the unique solvability of the inverse coefficient problem. We obtain various global sufficient conditions in the form of constraints on the signs of the given functions and their derivatives. As a corollary, we consider statements of inverse coefficient problems with overdetermination on the boundary, where the Dirichlet conditions are supplemented with the vanishing condition for the normal derivative on part of the boundary.
Differential Equations – Springer Journals
Published: Nov 7, 2013
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