Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (2)
- Authors
- Kriger, Ekaterina N.; Frolenkov, Igor V.
- Contact information
- Kriger, Ekaterina N.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Frolenkov, Igor V.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- inverse problem; semilinear parabolic equation; Cauchy problem; lowest term coefficient, weak approximation method; local solvability; overdetermination conditions on a smooth curve
- Abstract
In this paper we investigate an identification problem of a coefficient at the nonlinear lowest term in a 2D semilinear parabolic equation with overdetermination conditions given on a smooth curve. The unknown coefficient has the form of a product of two functions each depending on time and a spatial variable. We prove solvability of the problem in classes of smooth bounded functions. We present an example of input data satisfying the conditions of the theorem and the corresponding solution
- Pages
- 180–191
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/20242
Journal of Siberian Federal University. Mathematics & Physics / An Identification Problem of Nonlinear Lowest Term Coefficient in the Special Form for Two-Dimensional Semilinear Parabolic Equation
Full text (.pdf)