Title :
Identification problems for semilinear parabolic evolution equations
Author :
Nakagiri, Shin-ichi
Author_Institution :
Kobe Univ., Kobe
Abstract :
Identification problems for abstract semilinear parabolic evolution equations are studied. The problems are formulated by a minimization of quadratic cost functionals, and the existence and characterization problems are investigated. The existence of optimal parameters and necessary optimality conditions for the functionals are established by the continuity and Gateaux differentiability of solutions on parameters. An application to the semilinear diffusion equations with unknown spatially varying coefficients is given.
Keywords :
differential equations; minimisation; parabolic equations; parameter estimation; Gateaux differentiability; abstract semilinear parabolic evolution equation; parameter identification problem; quadratic cost functional minimization; semilinear diffusion equation; Cost function; Differential equations; Hilbert space; Mathematics; Nonlinear equations; Partial differential equations; Gâteaux differentiability; identification problem; necessary optimality condition; semilinear evolution equation;
Conference_Titel :
SICE, 2007 Annual Conference
Conference_Location :
Takamatsu
Print_ISBN :
978-4-907764-27-2
Electronic_ISBN :
978-4-907764-27-2
DOI :
10.1109/SICE.2007.4421102
