Results 21 to 30 of about 1,208,780 (193)

On Carleman estimates with two large parameters [PDF]

open access: yesIndiana 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.
Le Rousseau, Jérôme
openaire   +2 more sources

Carleman Estimates for Some Thermoelasticity Systems

open access: yes, 2017
In this chapter, we establish Carleman estimates for a thermoelastic plate system and a thermoelastic system with residual stress as applications of the Carleman estimate in Chap. 4.
Bellassoued M., Yamamoto M.
openaire   +3 more sources

Carleman estimates and null controllability of degenerate/singular parabolic systems

open access: yesElectronic Journal of Differential Equations, 2016
We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain.
Abdelkarim Hajjaj   +2 more
doaj   +1 more source

Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2021
To appear in Journal of Fourier Analysis and ...
Kwon, Yehyun, Lee, Sanghyuk, Seo, Ihyeok
openaire   +1 more source

Lower bounds at infinity for solutions to second order elliptic equations

open access: yesElectronic Journal of Differential Equations, 2023
We study lower bounds at infinity for solutions to $$ |Pu|\leq M|x|^{-\delta_1}|\nabla u|+M|x|^{-\delta_{0}}|u| $$ where $P$ is a second order elliptic operator. Our results are of quantitative nature and generalize those obtained in [3,6].
Tu Nguyen
doaj   +3 more sources

Null controllability of coupled systems of degenerate parabolic integro-differential equations

open access: yesElectronic Journal of Differential Equations, 2023
This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force.
Brahim Allal   +2 more
doaj   +3 more sources

Carleman Estimates and Absence of Embedded Eigenvalues [PDF]

open access: yesCommunications in Mathematical Physics, 2006
26 ...
Koch, Herbert, Tataru, Daniel
openaire   +3 more sources

Carleman estimate for the Navier–Stokes equations and applications [PDF]

open access: yesInverse Problems, 2022
Abstract For linearized Navier–Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauchy problem and finally we prove conditional stability estimates for the inverse source problem of determining a spatially varying divergence-free ...
Oleg Y Imanuvilov   +2 more
openaire   +4 more sources

Some Estimates For The Carleman Function

open access: yesThe American Journal of Applied sciences, 2021
In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna   +1 more
openaire   +1 more source

On Some Fractional Magnetic Problems

open access: yesPan-American Journal of Mathematics, 2023
In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation ...
Frédéric D. Y. Zongo   +2 more
doaj   +1 more source

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