Results 71 to 80 of about 161 (155)

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.
openaire   +1 more source

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  

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

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  

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

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

Dynamics-aware Representation Learning via Multivariate Time Series Transformers. [PDF]

Eur Symp Artif Neural Netw Comput Intell Mach Learn, 2022
Potter M, Potter İY, Camps O, Sznaier M.   +3 more
europepmc   +1 more source

Nonlinear Conditions for Ultradifferentiability. [PDF]

J Geom Anal, 2021
Nenning DN, Rainer A, Schindl G.
europepmc   +1 more source

Unique continuation principle for high order equations of Korteweg-de Vries type

Electronic Journal of Differential Equations, 2013
In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy.
Pedro Isaza
doaj