Results 51 to 60 of about 651 (202)
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
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On the boundary of an immediate attracting basin of a hyperbolic entire function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let f$f$ be a transcendental entire function of finite order which has an attracting periodic point z0$z_0$ of period at least 2. Suppose that the set of singularities of the inverse of f$f$ is finite and contained in the component U$U$ of the Fatou set that contains z0$z_0$. Under an additional hypothesis, we show that the intersection of ∂U$\
Walter Bergweiler, Jie Ding
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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On Carleman estimates for pseudo-differential operators [PDF]
Inventiones Mathematicae, 1972 The original purpose of this work was to prove the regularity theorems in [1] without using Fourier integral operators. Instead we use the method of Carleman estimates of H6rmander ([3], Ch. 8), with the weight function e ~Cx) replaced by a pseudo-differential operator e r ~ C x ' ~ s~x'~ of variable order s(x, 4).
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Interpolation of derivatives and ultradifferentiable regularity
Mathematische Nachrichten, Volume 298, Issue 2, Page 617-635, February 2025.Abstract Interpolation inequalities for Cm$C^m$ functions allow to bound derivatives of intermediate order 0
Armin Rainer, Gerhard Schindl
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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
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$L^q$-Carleman estimates with boundary observations and applications to inverse problems [PDF]
, 2023 Elena-Alexandra Melnig
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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 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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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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