Results 71 to 80 of about 1,641,201 (192)
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
Electronic Journal of Differential Equations, 2019 We study a reachability problem for a second-order integro-differential equation on a finite-dimensional Riemannian manifold, which is a model equation for viscoelasiticity.
Kang Zhou
doaj
Inverse Source Problem for a Singular Parabolic Equation with Variable Coefficients
MathematicsWe consider a parabolic equation with a singular potential in a bounded domain Ω⊂Rn. The main result is a Lipschitz stability estimate for an inverse source problem of determining a spatial varying factor f(x) of the source term R(x,t)f(x).
Xue Qin, Shumin Li
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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 +2 more
wiley +1 more source
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 +3 more
doaj +1 more source
Carleman Estimates for Some Non-Smooth Anisotropic Media [PDF]
Communications in Partial Differential Equations, 2013 Let B be a n × n block diagonal matrix in which the first block C τ is an hermitian matrix of order (n − 1) and the second block c is a positive function. Both are piecewise smooth in Ω, a bounded domain of R n. If S denotes the set where discontinuities of C τ and c can occur, we suppose that Ω is stratified in a neighborhood of S in the sense that ...
Benabdallah, Assia +2 more
openaire +3 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
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Carleman Estimate for the Wave Equation on a Riemannian Manifold
In this chapter, we prove a Carleman estimate with a second large parameter for a second-order hyperbolic operator on a Riemannian manifold MM. Our Carleman estimate holds in the whole cylindrical domain Q=M×(0,T)Q=M×(0,T) independently of the level set ...
Bellassoued M., Yamamoto M.
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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 +2 more
wiley +1 more source
Carleman estimate and an inverse source problem for the Kelvin?Voigt model for viscoelasticity
We consider the Kelvin?Voigt model for the viscoelasticity, and prove a Carleman estimate for functions without compact supports. Then we apply this Carleman estimate to prove the Lipschitz stability in determining a spatial varying function in an ...
Imanuvilov O.Y., Yamamoto M.
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