Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Guermai, G. El"'
In this paper, we present a refined approach to establish a global Lipschitz stability for an inverse source problem concerning the determination of forcing terms in the wave equation with mixed boundary conditions. It consists of boundary conditions
Externí odkaz:
http://arxiv.org/abs/2402.12902
This work presents a comparative study to numerically compute impulse approximate controls for parabolic equations with various boundary conditions. Theoretical controllability results have been recently investigated using a logarithmic convexity est
Externí odkaz:
http://arxiv.org/abs/2310.18436
We investigate the inverse problem of numerically identifying unknown initial temperatures in a heat equation with dynamic boundary conditions whenever some overdetermination data is provided after a final time. This is a backward parabolic problem w
Externí odkaz:
http://arxiv.org/abs/2208.01111
In this paper, we are concerned with the boundary controllability of heat equation with dynamic boundary conditions. More precisely, we prove that the equation is null controllable at any positive time by means of a boundary control supported on an a
Externí odkaz:
http://arxiv.org/abs/2206.10701
Publikováno v:
IMA Journal of Mathematical Control and Information 2022
In this paper, we prove a logarithmic convexity that reflects an observability estimate at a single point of time for 1-D heat equation with dynamic boundary conditions. Consequently, we establish the impulse approximate controllability for the impul
Externí odkaz:
http://arxiv.org/abs/2203.10532
Publikováno v:
Mathematical Control and Related Fields 2022
The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate con
Externí odkaz:
http://arxiv.org/abs/2202.13732
This paper studies an inverse hyperbolic problem for the wave equation with dynamic boundary conditions. It consists of determining some forcing terms from the final overdetermination of the displacement. First, the Fr\'echet differentiability of the
Externí odkaz:
http://arxiv.org/abs/2201.00580
Publikováno v:
Mathematical Control and Related Fields. 13:1023-1046
The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate con