Results 71 to 80 of about 1,208,780 (193)
$L^q$-Carleman estimates with boundary observations and applications to inverse problems [PDF]
, 2023 We consider coupled linear parabolic systems and we establish estimates in $L^q$-norm for the sources in terms of observations on the corresponding solutions on a part of the boundary.
Melnig, Elena-Alexandra
core
The Non Singular Case: $$\lambda =0$$
, 2021 We show Carleman estimates for parabolic problems in divergence or non divergence form with degeneracy at the boundary or in the interior of the space domain.
Mugnai, Dimitri +3 more
core +1 more source
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
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
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
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
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
A quantitative Carleman estimate for second-order elliptic operators [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2018 AbstractWe prove a Carleman estimate for elliptic second-order partial differential expressions with Lipschitz continuous coefficients. The Carleman estimate is valid for any complex-valued function u ∈ W2,2 with support in a punctured ball of arbitrary radius.
Nakić, Ivica +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
wiley +1 more source
Carleman Estimates for the Schrödinger Operator. Applications to Quantitative Uniqueness
, 2013 International audienceOn a closed manifold, we give a quantitative Carleman estimate on the Schrödinger operator. We then deduce quantitative uniqueness results for solutions to the Schrödinger equation using doubling estimates.
Bakri, Laurent
core +1 more source