Results 61 to 70 of about 156 (155)

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  

Carleman estimates and unique continuation for the Schroedinger equation

Differential and Integral Equations, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Lipschitz stability for degenerate parabolic systems

Electronic Journal of Differential Equations, 2014
In this article, we study an inverse problem for weakly degenerate coupled 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
Idriss Boutaayamou, Abdelkarim Hajjaj, Lahcen Maniar   +2 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  

Stability estimate for an inverse problem for a fractional kinetic equation via a Carleman inequality

Boundary Value Problems
Fractional kinetic equations are used to model complex physical processes, including anomalous diffusion, memory effects, and long-range interactions. In this study, a coefficient inverse problem for a fractional kinetic equation is considered.
İsmet Gölgeleyen, Özlem Kaytmaz, Muhammed Hasdemir   +2 more
doaj   +1 more source

On Carleman estimates with two large parameters [PDF]

Indiana University Mathematics Journal, 2011
We provide a general framework for the analysis and the derivation of Carleman estimates with two large parameters. For an appropriate form of weight functions strong pseudo-convexity conditions are shown to be necessary and sufficient.
openaire   +1 more source

Null controllability of population dynamics with interior degeneracy

Electronic Journal of Differential Equations, 2017
In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which
Idriss Boutaayamou, Younes Echarroudi
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

Carleman estimates for some elliptic systems [PDF]

Journal of Physics: Conference Series, 2008
A Carleman estimate for a certain first order elliptic system is proved. The proof is elementary and does not rely on pseudo-differential calculus. This estimate is used to prove Carleman estimates for the isotropic Lame system as well as for the isotropic Maxwell system with C1 coefficients.
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An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel

Fractal and Fractional
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj   +1 more source