Results 81 to 90 of about 651 (202)

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

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

Nonlinear Conditions for Ultradifferentiability. [PDF]

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

Carleman Estimates and null controllability of coupled degenerate systems [PDF]

, 2011
El Mustapha Ait Ben Hassi, Farid Ammar Khodja, Abdelkarim Hajjaj, Lahcen Maniar   +3 more
openalex   +1 more source

Carleman estimates for geodesic X-ray transforms

Annales Scientifiques de l'École Normale Supérieure
In this article we introduce an approach for studying the geodesic X-ray transform and related geometric inverse problems by using Carleman estimates. The main result states that on compact negatively curved manifolds (resp. nonpositively curved simple or Anosov manifolds), the geodesic vector field satisfies a Carleman estimate with logarithmic ...
Paternain, Gabriel P., Salo, Mikko
openaire   +3 more sources

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  

Exact controllability for systems describing plate vibrations. A perturbation approach

Comptes Rendus. Mathématique
The aim of this paper is to prove new exact controllability properties of systems described by perturbations of the classical Kirchhoff plate equation. We first consider systems described by an abstract plate equation with a bounded control operator. The
Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius   +2 more
doaj   +1 more source

Biregular Mappings on $\mathbb{H}\times \mathbb{H}$: Domains of Hyperholomorphy, Integral Representations, and Runge Approximation

Mathematics
We develop a PDE and boundary integral framework for quaternion-valued fields on product domains Ω⊂H×H governed by the mixed left/right Cauchy–Fueter system We identify the natural compatibility condition and prove local solvability with quantitative H1 ...
Ji Eun Kim
doaj   +1 more source

Heat kernels of the discrete Laguerre operators. [PDF]

Lett Math Phys, 2021
Kostenko A.
europepmc   +1 more source

Carleman estimate and inverse source problem for Biot’s equations describing wave propagation in porous media [PDF]

, 2013
Mourad Bellassoued, Masahiro Yamamoto
openalex   +1 more source