Results 31 to 40 of about 645 (200)

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS

Pesquimat, 2014
In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L.
Víctor Rafael Cabanillas Zannini
doaj   +1 more source

Observability Inequalities for Transport Equations through Carleman Estimates [PDF]

, 2019
We consider the transport equation $\ppp_t u(x,t) + H(t)\cdot \nabla u(x,t) = 0$ in $\OOO\times(0,T),$ where $T>0$ and $\OOO\subset \R^d $ is a bounded domain with smooth boundary $\ppp\OOO$. First, we prove a Carleman estimate for solutions of finite energy with piecewise continuous weight functions. Then, under a further condition which guarantees
Piermarco Cannarsa, Giuseppe Floridia, Masahiro Yamamoto   +2 more
openaire   +4 more sources

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source

Identification of random coefficient latent utility models

Quantitative Economics, Volume 16, Issue 4, Page 1223-1265, November 2025.
This paper provides nonparametric identification results for random coefficient distributions in perturbed utility models. We cover discrete choice and models of multiple purchases. We establish identification using variation in mean quantities. The results apply even when an analyst observes only aggregate demands but not whether goods are chosen ...
Roy Allen, John Rehbeck
wiley   +1 more source

The Mean Field Games System: Carleman Estimates, Lipschitz Stability and Uniqueness [PDF]

, 2023
Michael V. Klibanov
openalex   +1 more source

Carleman Estimates with a Second Large Parameter

Journal of Mathematical Analysis and Applications, 2000
Unique continuation of solutions to linear partial differential equations is of importance in many branches of applied mathematics, in particular, in control theory and inverse problems. The Carleman estimates are an important tool for proving the unique continuation for linear operators with non-analytic coefficients.
openaire   +1 more source

Integrating the Probe and Singular Sources Methods: II. the Stokes System

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10406-10426, 15 July 2025.
ABSTRACT In this paper, an integrated theory of the probe and singular sources methods for an inverse obstacle problem governed by the Stokes system in a bounded domain is developed. The main results consist of the probe method for the Stokes system, the singular sources method by using the notion of the probe method, and the completely integrated ...
Masaru Ikehata
wiley   +1 more source

Global Carleman estimate for the plate equation and applications to inverse problems

Electronic Journal of Differential Equations, 2016
In this article, we establish a Carleman estimate for the plate equation in order to solve an inverse problem retrieving the zeroth-order term for a plate equation from boundary measurements.
Peng Gao
doaj  

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source