๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Approximate observability of abstract evolution equation with unbounded observation operator

โœ Scribed by B Shklyar


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
592 KB
Volume
36
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis


Propetiic of the null set of the evolution equation S = Ax(t), z(0) = x0, g(t) =

Cz(t) (A generates a strongly continuous semigroup {S(t))t>~ on a Banach space X, C is a linear unbounded operator) are investigated. Conditions for approGmate observability of such system are obtained.


๐Ÿ“œ SIMILAR VOLUMES


An optimal control problem with unbounde
โœ R. Triggiani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

We provide an optimal control problem for a one-dimensional hyperbolic equation over = (0, c~), with Dirichlet boundary control u(t) at x = 0, and point observation at x = 1, over an infinite time horizon. Thus, both control and observation operators B and R are unbounded. Because of the finite spee

A product formula for semigroups of Lips
โœ Naoki Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 244 KB

## Abstract The notion of semigroups of Lipschitz operators associated with abstract quasilinear evolution equations is introduced and a product formula for such semigroups is established. The product formula obtained in the paper is applied to the solvability of the Cauchy problem for a first orde