DocumentCode
2638095
Title
Identification problems for semilinear parabolic evolution equations
Author
Nakagiri, Shin-ichi
Author_Institution
Kobe Univ., Kobe
fYear
2007
fDate
17-20 Sept. 2007
Firstpage
846
Lastpage
849
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;
fLanguage
English
Publisher
ieee
Conference_Titel
SICE, 2007 Annual Conference
Conference_Location
Takamatsu
Print_ISBN
978-4-907764-27-2
Electronic_ISBN
978-4-907764-27-2
Type
conf
DOI
10.1109/SICE.2007.4421102
Filename
4421102
Link To Document