Results 61 to 70 of about 1,208,780 (193)
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
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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
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Carleman estimates for the heat equation with discontinuous diffusion coefficients
, 2008 We consider the heat equation with a diffusion coefficient that is discontinuous at an interface. We give global Carleman estimates for solutions of this equation, even if the jump of the coefficient across the interface has not a constant ...
Poisson, Olivier
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Fourier Multiplier Theorems on Variable Exponent Lebesgue–Bochner Spaces and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We establish the Mikhlin‐type Fourier multiplier theorems on variable exponent Lebesgue–Bochner spaces using the Fourier multiplier theorems on weighted Lebesgue–Bochner spaces and the transform results of bounded operators from weighted spaces to variable exponent spaces.
Yuchen Zhong, Calogero Vetro
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Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system
Electronic Journal of Differential Equations, 2000 This paper studies a problem of boundary observability for a coupled system of parabolic-hyperbolic type. First, we prove some Carleman estimates with singular weights for the heat and for the wave equations.
Paolo Albano, Daniel Tataru
doaj
Null-controllability for 1-D degenerate quasilinear parabolic equations
Electronic Journal of Differential EquationsIn this article, we prove local null-controllability for one-dimensional degenerate quasilinear parabolic equations. We apply a well-known local inversion argument used by Fursikov and Imanuvilov. The strategy is to use Carleman estimates, previously
Pitágoras de Carvalho +3 more
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Properties of the Support of Solutions of a Class of 2-Dimensional Nonlinear Evolution Equations.
Revista Integración, 2021 In this work we consider equations of the form ∂tu + P(D)u + u^{t}∂xu = 0, where P(D) is a two-dimensional differential operator, and l ∈ N. We prove that if u is a sufficiently smooth solution of the equation, such that supp u(0), supp u(T) ⊂ [−B,
Eddye Bustamante, José Jiménez Urrea
doaj
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
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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
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OPTIMAL CONTROL FOR A CONTROLLED ILL-POSED WAVE EQUATION WITHOUT REQUIRING THE SLATER HYPOTHESIS
Ural Mathematical Journal, 2020 In this paper, we investigate the problem of optimal control for an ill-posed wave equation without using the extra hypothesis of Slater i.e. the set of admissible controls has a non-empty interior. Firstly, by a controllability approach, we make the ill-
Abdelhak Hafdallah
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