Results 81 to 90 of about 4,144 (169)

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

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

Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]

Results Math, 2023
Jiménez-Garrido J, Miguel-Cantero I, Sanz J, Schindl G.   +3 more
europepmc   +1 more source

Lipschitz stability in an inverse problem for the wave equation

, 2010
We are interested in the inverse problem of the determination of the potential $p(x), x\in\Omega\subset\mathbb{R}^n$ from the measurement of the normal derivative $\partial_\nu u$ on a suitable part $\Gamma_0$ of the boundary of $\Omega$, where $u$ is ...
Baudouin, Lucie
core   +1 more source

Null controllability of a population dynamics with interior degeneracy

, 2017
In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards we deduce a suitable observability ...
Boutaayamou, Idriss, Echarroudi, Younes
core   +1 more source

Carleman Type Estimates in an Anisotropic Case and Applications

Journal of Differential Equations, 1993
We give proofs and some further applications of estimates announced in the author's note [Sov. Math. Dokl. 22, 639-642 (1980); transl. from Dokl. Akad. Nauk SSSR 255, 18-21 (1980; Zbl 0468.35030)]. These results extend those of \textit{L. Hörmander} [Linear partial differential operators, Springer, Berlin etc.
openaire   +2 more sources

On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order. [PDF]

Entropy (Basel), 2022
Juraev DA, Shokri A, Marian D.
europepmc   +1 more source

Carleman estimates for higher step Grushin operators

Journal of Functional Analysis
The higher step Grushin operators $\Delta_{\alpha}$ are a family of sub-elliptic operators which degenerate on a sub-manifold of $\mathbb{R}^{n+m}$. This paper establishes Carleman-type inequalities for these operators. It is achieved by deriving a weighted $L^{p}-L^{q}$ estimate for the Grushin-harmonic projector.
Hendrik De Bie, Pan Lian
openaire   +2 more sources

Null controllability of a cascade system of Schrodinger equations

Electronic Journal of Differential Equations, 2016
This article presents a control problem for a cascade system of two linear N-dimensional Schrodinger equations. We address the problem of null controllability by means of a control supported in a region not satisfying the classical geometrical control
Marcos Lopez-Garcia, Alberto Mercado, Luz de Teresa   +2 more
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