Results 61 to 70 of about 161 (155)
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
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Carleman estimates and null controllability of degenerate/singular parabolic systems
Electronic Journal of Differential Equations, 2016 We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain.
Abdelkarim Hajjaj +2 more
doaj
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami +2 more
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Carleman Type Estimates in an Anisotropic Case and Applications
Journal of Differential Equations, 1993 We give proofs and some further applications of estimates announced in the author's note [Sov. Math. Dokl. 22, 639-642 (1980); transl. from Dokl. Akad. Nauk SSSR 255, 18-21 (1980; Zbl 0468.35030)]. These results extend those of \textit{L. Hörmander} [Linear partial differential operators, Springer, Berlin etc.
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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
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Carleman estimates and unique continuation for the Schroedinger equation
Differential and Integral Equations, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem.
Fengdan Xu +3 more
doaj
On Carleman estimates with two large parameters [PDF]
Indiana University Mathematics Journal, 2011 We provide a general framework for the analysis and the derivation of Carleman estimates with two large parameters. For an appropriate form of weight functions strong pseudo-convexity conditions are shown to be necessary and sufficient.
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Lipschitz stability for linear parabolic systems with interior degeneracy
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou +2 more
doaj
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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