Carleman estimate for parabolic equation with memory effects and exact controllability | Zendy

Kumarasamy Sakthivel | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Carleman estimate for parabolic equation with memory effects and exact controllability

Author(s) -

Kumarasamy Sakthivel

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700418

Subject(s) - controllability , observability , nonlinear system , mathematics , linearization , control theory (sociology) , point (geometry) , parabolic partial differential equation , mathematical analysis , control (management) , partial differential equation , computer science , physics , geometry , quantum mechanics , artificial intelligence

A nonlinear parabolic problem with memory effect is considered. We first establish a Carleman type estimate for a linear problem which is the adjoint of a suitable linearization of the nonlinear problem. As a consequence of this estimate we obtain an observability estimate. Then we establish the exact controllability of the linearized system with distributed control over a subdomain. Finally, we arrive at the controllability of the nonlinear system via a classical fixed point theorem. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research