Uniform controllability properties for space/time-discretized parabolic equations
نویسندگان
چکیده
منابع مشابه
Uniform controllability properties for space/time-discretized parabolic equations
This article is concerned with the analysis of semi-discrete-in-space and fully-discrete approximations of the null controllability (and controllability to the trajectories) for parabolic equations. We propose an abstract setting for space discretizations that potentially encompasses various numerical methods and we study how the controllability problems depend on the discretization parameters....
متن کاملNull Controllability Results for Degenerate Parabolic Equations
The null controllability of parabolic operators in bounded domains, with both boundary or locally distributed controls, is a well-established property, see, e.g., (Bensoussan et al., 1993) and (Fattorini, 1998). Such a property brakes down, however, for degenerate parabolic operators even when degeneracy occurs on ”small” subsets of the space domain, such as subsets of the boundary. This talk w...
متن کاملNull–controllability of One–dimensional Parabolic Equations
We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.
متن کاملUniform controllability of semidiscrete approximations of parabolic control systems
Controlling an approximation model of a controllable infinite dimensional linear control system does not necessarily yield a good approximation of the control needed for the continuous model. In the present paper, under the main assumptions that the discretized semigroup is uniformly analytic, and that the control operator is mildly unbounded, we prove that the semidiscrete approximation models...
متن کاملAn Iteration Method for Controllability of Semilinear Parabolic Equations
We present a method based on Picard’s idea to construct a sequence of controls and a sequence of solutions of linearized systems such that their limits form a solution to the control problem. By doing this, we simplified the works in the references, and deduced the controllability for semilinear coupled parabolic systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2011
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-011-0368-1