Title :
Stochastic regularization of the observability problem for the heat equation
Author :
Martin, C. ; Shubov, V.
Author_Institution :
Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA
Abstract :
An attempt is made to develop a stochastic approach to the study of inverse problems for linear and diffusion-type nonlinear parabolic evolution equations. It is suggested that these equations be approximated by a certain system of stochastic ordinary differential equations and that the inverse problems for this system be studied. The possibility of such an approximation is based on the hydrodynamic scaling limit
Keywords :
inverse problems; lattice theory and statistics; observability; stochastic processes; thermodynamics; diffusion-type nonlinear parabolic evolution equations; heat equation; hydrodynamic scaling limit; inverse problems; linear parabolic evolution equations; observability; stochastic ordinary differential equations; stochastic regularisation; Differential equations; Electronic mail; Hydrodynamics; Inverse problems; Laplace equations; Lattices; Mathematics; Nonlinear equations; Observability; Stochastic processes; Stochastic systems; Telephony;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371615
