Results 61 to 70 of about 1,641,201 (192)
Carleman estimates for sub-Laplacians on Carnot groups
, 2023 In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group G for functions satisfying the discrepancy assumption in (2.16) below.
Kumar, Dharmendra +3 more
core +1 more source
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
Backward uniqueness for heat equations with coefficients of bounded variation in time
Electronic Journal of Differential Equations, 2013 Uniqueness of solutions to the backward Cauchy problem for heat equations with coefficients of bounded variation in time is shown through the Carleman estimate.
Shigeo Tarama
doaj
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
wiley +1 more source
Null controllability of a coupled system of degenerate parabolic equations with lower order terms
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
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
wiley +1 more source
Carleman estimate on a tree for Schrodinger equation and application to an inverse problem
, 2023 In this paper, by constructing the weight functions, a global Carleman estimate for the Schrodinger equation on a tree is established, with a strong assumption on the solution.
Ding, Yibin, Xu, Xiang
core
On Carleman estimates for pseudo-differential operators [PDF]
Inventiones Mathematicae, 1972 The original purpose of this work was to prove the regularity theorems in [1] without using Fourier integral operators. Instead we use the method of Carleman estimates of H6rmander ([3], Ch. 8), with the weight function e ~Cx) replaced by a pseudo-differential operator e r ~ C x ' ~ s~x'~ of variable order s(x, 4).
openaire +2 more sources
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
A Carleman type estimate for the Mindlin-Timoshenko plate model
, 2017 This thesis focuses on results concerning providing a Carleman type estimate for the Mindlin-Timoshenko plate equations. The main approach is to provide an estimate for each of the three equations in the model then present these estimates in totality as
Kurz, Jason A.
core +1 more source