Results 101 to 110 of about 1,208,780 (193)

Global Carleman estimates for the fourth order parabolic equations and application to null controllability [PDF]

, 2022
The main objective of this paper is to establish the null controllability for the fourth order semilinear parabolic equations with the nonlinearities involving the state and its gradient up to second order.
Li, F., You, Bo
core  

Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations

Electronic Journal of Differential Equations, 2019
This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem.
Fengdan Xu, Jingxue Yin, Mingjun Zhou, Qian Zhou   +3 more
doaj  

Lipschitz stability for linear parabolic systems with interior degeneracy

Electronic Journal of Differential Equations, 2014
In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou, Genni Fragnelli, Lahcen Maniar   +2 more
doaj  

Carleman Estimates for the Lamé System with Stress Boundary Condition

Publications of the Research Institute for Mathematical Sciences, 2007
In this paper, for functions without compact supports, we established Carleman estimates for the two-dimensional non-stationary Lamé system with the stress boundary condition.
Imanuvilov, Oleg Yu., Yamamoto, Masahiro
openaire   +2 more sources

Lipschitz Stability Estimate and Uniqueness in the Retrospective Analysis for The Mean Field Games System via Two Carleman Estimates [PDF]

, 2023
A retrospective analysis process for the mean field games system (MFGS) is considered. For the first time, Carleman estimates are applied to the analysis of the MFGS. Two new Carleman estimates are derived.
Klibanov, Michael V., Averboukh, Yurii
core  

Reachability of a second-order integro-differential equation on Riemannian manifold for a viscoelasticity model

Electronic Journal of Differential Equations, 2019
We study a reachability problem for a second-order integro-differential equation on a finite-dimensional Riemannian manifold, which is a model equation for viscoelasiticity.
Kang Zhou
doaj  

Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem

Electronic Journal of Differential Equations, 2018
In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates.
Murat A. Sultanov, Musabek I. Akylbaev, Raskul Ibragimov   +2 more
doaj  

The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]

Arch Ration Mech Anal, 2023
Holzegel G, Shao A.
europepmc   +1 more source

Null controllability for linear parabolic cascade systems with interior degeneracy

Electronic Journal of Differential Equations, 2016
We study the null controllability problem for linear degenerate parabolic systems with one control force through Carleman estimates for the associated adjoint problem.
Idriss Boutaayamou, Jawad Salhi
doaj  

Uniqueness results for variable coefficient Schrödinger equations

Bruno Pini Mathematical Analysis Seminar
In this note we shall present some result proved in [16] on the uniqueness of Schrödinger equations with space-variable coefficients, that is Schrödinger equations where the Laplacian is replaced by an elliptic operator with space-variable coefficients.
Serena Federico
doaj   +1 more source