Results 11 to 20 of about 24,953,243 (325)
An Elliptic Garnier System [PDF]
Communications in Mathematical Physics, 2017 We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $4m+12$ points for $m \geq 1$, which appear in pairs due to a symmetry condition. We parameterize this linear system in terms a set of kernels at the singular points.
Ormerod, Chris M., Rains, Eric M.
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COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Lange, Herbert, Newstead, P. E.
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Communication Aspects for a Measurement Based UWB in-Body to on-Body Channel
IEEE Access, 2019 A wireless capsule endoscopy (WCE) is a good option for the screening of the digestive system. To better facilitate detection of diseases at an early stage, gastroenterologists seek both higher frame rate and frame resolution than what is offered in the ...
Pal Anders Floor +5 more
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Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos
Entropy, 2022 We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
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Critical chirality in elliptic systems [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021 We establish the regularity in 2 dimension of L^{2} solutions to critical elliptic systems in divergence form involving chirality operators of finite W^{1,2} -energy.
Da Lio, Francesca, Rivière, Tristan
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On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth [PDF]
Archive for Rational Mechanics and Analysis, 2016 We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic radial structure, then the solution can in fact be ...
Lisa Beck +3 more
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Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems [PDF]
, 2016 We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems. We introduce structural asymptotic assumptions of Uhlenbeck type on the nonlinearity, which are sufficient ...
Miroslav Bul'ivcek +2 more
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Fundamental matrices and Green matrices for non-homogeneous elliptic systems [PDF]
Publicacions matemàtiques, 2016 In this paper, we establish existence, uniqueness, and scale-invariant estimates for fundamental solutions of non-homogeneous second order elliptic systems with bounded measurable coefficients in $\mathbb{R}^n$ and for the corresponding Green functions ...
Blair Davey, Jonathan Hill, S. Mayboroda
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Rarefied elliptic hypergeometric functions [PDF]
, 2018 Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
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Potential estimates for elliptic systems with subquadratic growth
Journal des Mathématiques Pures et Appliquées, 2019 We prove gradient Riesz potential estimates for nonlinear elliptic systems with subquadratic growth of the form − div ( A ( x , D u ) ) = f , adopting e-regularity criteria to the non-homogeneous setting.
Sun-Sig Byun, Yeonghun Youn
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