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References (16)
-
I. Vasin, V. Kamynin (1997)
On the asymptotic behavior of solutions to inverse problems for parabolic equationsSiberian Mathematical Journal, 38
-
Виталий Камынин, Vitalii Kamynin (2008)
Об обратной задаче определения старшего коэффициента в параболическом уравнении@@@On the Inverse Problem of Determining the Leading Coefficient in Parabolic Equations, 84
-
N.Ya. Beznoshchenko (1974)
On Determining the Coefficient in a Parabolic EquationDiffer. Uravn., 10
-
O. Arena (1969)
Sopra una classe di equazioni parabolicheBoll. Unione Mat. Ital., 4
-
N.V. Krylov, M.V. Safonov (1980)
A Property of the Solutions of Parabolic Equations with Measurable CoefficientsIzv. Akad. Nauk SSSR Ser. Mat., 44
-
O.V. Besov, V.P. Il’in, S.M. Nikol’skii (1975)
Integral’nye predstavleniya funktsii i teoremy vlozheniya -
N. Krylov, M. Safonov (1981)
A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTSMathematics of The Ussr-izvestiya, 16
-
V.M. Isakov (1982)
A Class of Inverse Problems for Parabolic EquationsDokl. Akad. Nauk SSSR, 263
-
S. Kruzhkov (1985)
Quasilinear Parabolic Equations and Systems with Two Independent Variables -
N.Ya. Beznoshchenko (1982)
On the Existence of a Solution of Problems of Determining Coefficients of Parabolic EquationsDiffer. Uravn., 18
-
J. Cannon, Yanping Lin (1988)
Determination of parameter p(t) in Holder classes for some semilinear parabolic equationsInverse Problems, 4
-
Yu.A. Alkhutov, I.T. Mamedov (1986)
The First Boundary Value Problem for Second-Order Nondivergence Parabolic Equations with Discontinuous CoefficientsMat. Sb., 173
-
J. Cannon, Yanping Lin (1988)
Determination of a parameter p(t) in some quasi-linear parabolic differential equationsInverse Problems, 4
-
A.I. Kozhanov (2005)
On the Solvability of the Inverse Problem of Determining the Thermal Conductivity CoefficientSibirsk. Mat. Zh., 46
-
A.I. Prilepko, A.B. Kostin (1992)
Inverse Problems of Determining the Coefficient in a Parabolic Equation. ISibirsk. Mat. Zh., 33
-
A.I. Prilepko, D.G. Orlovskii (1985)
Determination of the Parameter of an Evolution Equation and Inverse Problems of Mathematical Analysis. IIDiffer. Uravn., 21
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Difference and Functional Equations; Partial Differential Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266111010101
- Publisher site
- See Article on Publisher Site
Abstract
We study existence and uniqueness of the solution for the inverse problem of determination of the unknown coefficient ϱ(t) multiplying u t in a nondivergence parabolic equation. As additional information, the integral of the solution over the domain of space variables with some given weight function is specified. The coefficients of the equation depend both on time and on the space variables.
Journal
Differential Equations – Springer Journals
Published: Mar 9, 2011