Results 51 to 60 of about 645 (200)
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
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
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
$L^q$-Carleman estimates with boundary observations and applications to inverse problems [PDF]
, 2023 Elena-Alexandra Melnig
openalex +1 more source
Carleman Estimates for a Class of Degenerate Parabolic Operators [PDF]
SIAM Journal on Control and Optimization, 2008 Given $\alpha \in [0,2)$ and $f \in L^2 ((0,T)\times(0,1))$, we derive new Carleman estimates for the degenerate parabolic problem $w_t + (x^\alpha w_x) _x =f$, where $(t,x) \in (0,T) \times (0,1)$, associated to the boundary conditions $w(t,1)=0$ and $w(t,0)=0$ if $0 \leq \alpha
CANNARSA, PIERMARCO +2 more
openaire +2 more sources
The symplectic density property for Calogero–Moser spaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén–Lempert theory. We establish these properties for the Calogero–Moser space Cn$\mathcal {C}_n$ of n$n$ particles and describe its group of holomorphic symplectic automorphisms.
Rafael B. Andrist, Gaofeng Huang
wiley +1 more source
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
doaj +1 more source
Carleman estimates and inverse problems for Dirac operators [PDF]
Mathematische Annalen, 2008 20 pages; Proposition 2.4 concerning harmonic weights had an incorrect proof in the first version and has been removed, also other changes and ...
Salo, Mikko, Tzou, Leo
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On an Empirical Likelihood Based Solution to the Approximate Bayesian Computation Problem
Statistical Analysis and Data Mining: The ASA Data Science Journal, Volume 17, Issue 5, October 2024.ABSTRACT Approximate Bayesian computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by comparing the observed data with additional process‐generated simulated data sets.
Sanjay Chaudhuri +2 more
wiley +1 more source
The Metivier inequality and ultradifferentiable hypoellipticity
Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley +1 more source