Results 41 to 50 of about 4,144 (169)

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

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  

Carleman estimates and null controllability of a class of singular parabolic equations

Advances in Nonlinear Analysis, 2018
In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms.
Du Runmei, Eichhorn Jürgen, Liu Qiang, Wang Chunpeng   +3 more
doaj   +1 more source

Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations

, 2019
When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model, for example, the orders of the fractional derivative or the source term, are often unknown, which ...
Li, Zhiyuan, Yamamoto, Masahiro
core   +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

Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms

Electronic Journal of Differential Equations, 2018
This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj  

Recent progress in the Calderon problem with partial data [PDF]

, 2013
We survey recent results on Calderon's inverse problem with partial data, focusing on three and higher dimensions.Comment: 36 ...
Kenig, Carlos E., Salo, Mikko
core  

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

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  

Decoding a mean field game by the Cauchy data around its unknown stationary states

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract In recent years, mean field games (MFGs) have garnered considerable attention and emerged as a dynamic and actively researched field across various domains, including economics, social sciences, finance, and transportation. The inverse design and decoding of MFGs offer valuable means to extract information from observed data and gain insights ...
Hongyu Liu, Catharine W. K. Lo, Shen Zhang   +2 more
wiley   +1 more source