Identification of random coefficient latent utility models
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 estimates and null controllability of a class of singular parabolic equations
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 +3 more
doaj +1 more source
Integrating the Probe and Singular Sources Methods: II. the Stokes System
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
Backward uniqueness for heat equations with coefficients of bounded variation in time
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
Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
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
Null controllability of a coupled system of degenerate parabolic equations with lower order terms
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
Decoding a mean field game by the Cauchy data around its unknown stationary states
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 +2 more
wiley +1 more source
On Carleman estimates for pseudo-differential operators [PDF]
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
Preconditioning Techniques for Generalized Sylvester Matrix Equations
ABSTRACT Sylvester matrix equations are ubiquitous in scientific computing. However, few solution techniques exist for their generalized multiterm version, as they now arise in an increasingly large number of applications. In this work, we consider algebraic parameter‐free preconditioning techniques for the iterative solution of generalized multiterm ...
Yannis Voet
wiley +1 more source
Stabilization for degenerate equations with drift and small singular term
We consider a degenerate/singular wave equation in lone dimension, with drift and in presence of a leading operator that is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint.
Genni Fragnelli +2 more
wiley +1 more source

