Найдено научных статей и публикаций: 1, для научной тематики: Parabolic integrodifferential equation
1.
Kumarasamy Sakthivel; Krishnan Balachandran; Jong-Yeoul Park; Ganeshan Devipriya
- Kybernetika , 2010
In this paper, we prove the exact null controllability of certain diffusion system by
rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable
coefficients in a bounded interval of R with a distributed control acting on a subinterval.
We first prove a global null contr...
In this paper, we prove the exact null controllability of certain diffusion system by
rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable
coefficients in a bounded interval of R with a distributed control acting on a subinterval.
We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with
appropriate assumptions on the coefficients. Then this result is successfully used with some
estimates for parabolic equation in L^k
spaces together with classical fixed point theorem,
to prove the null controllability of the nonlinear model.