Results 41 to 50 of about 651 (202)

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

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  

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
doaj   +1 more source

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

Carleman estimates for the Euler-Bernoulli plate operator

Electronic Journal of Differential Equations, 2000
We present some a-priori estimates of Carleman type for the Euler-Bernoulli plate operator. As an application, we consider a problem of boundary observability for the Euler-Bernoulli plate coupled with the heat equation.
Paolo Albano
doaj  

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

Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
doaj   +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

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  

On Unique Continuation for Navier-Stokes Equations

Abstract and Applied Analysis, 2015
We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
doaj   +1 more source