Results 51 to 60 of about 161 (155)

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

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

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

Preconditioning Techniques for Generalized Sylvester Matrix Equations

Numerical Linear Algebra with Applications, Volume 32, Issue 2, April 2025.
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

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5086-5109, 15 March 2025.
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, Dimitri Mugnai, Amine Sbai   +2 more
wiley   +1 more source

On the boundary of an immediate attracting basin of a hyperbolic entire function

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
wiley   +1 more source

Internal exact controllability of the linear population dynamics with diffusion

Electronic Journal of Differential Equations, 2004
We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes.
Bedr'Eddine Ainseba, Sebastian Anita
doaj  

An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy

Abstract and Applied Analysis, 2018
The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi, Jawad Salhi   +3 more
doaj   +1 more source

Global Lipschitz stability for an inverse coefficient problem for a mean field game system

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3858-3870, February 2025.
For an inverse coefficient problem of determining a state‐varying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by spatial data of one component and interior data in an arbitrarily chosen subdomain over a time interval. The proof is based on Carleman estimates with different norms.
Oleg Imanuvilov, Masahiro Yamamoto
wiley   +1 more source