Title :
Uniqueness theorem for a nonlinear parabolic inverse problem
Author_Institution :
Dept. of Math., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
In this paper, a uniqueness theorem for a nonlinear parabolic inverse problem was proved, that is, the nonlinear diffusion coefficient of a multidimensional nonlinear parabolic equation can be identified under certain conditions. Our approach is based on a kind of integral estimate for free boundary problem used in Cannon and Yin [3].
Keywords :
nonlinear equations; parabolic equations; free boundary problem; integral estimate; multidimensional nonlinear parabolic equation; nonlinear diffusion coefficient; nonlinear parabolic inverse problem; uniqueness theorem; Boundary conditions; Equations; Heating; Integral equations; Inverse problems; Numerical stability; Inverse problem; nonlinear parabolic equation; uniqueness;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002652
