Results 1 to 10 of about 230,660 (338)
Blowup equations for 6d SCFTs. Part I
Journal of High Energy Physics, 2019 We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations.
Jie Gu +3 more
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Elliptic Gaudin models and elliptic KZ Equations [PDF]
Nuclear Physics B, 2001 The Gaudin models based on the face-type elliptic quantum groups and the $XYZ$ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method.
Babujian +29 more
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Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 It is shown how to define difference equations on particular lattices {x_n}, n in Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable
Alphonse P. Magnus
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Degenerate elliptic equations [PDF]
Pacific Journal of Mathematics, 1964 R. M. Redheffer, E. G. Straus
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An elliptic equation with history [PDF]
Comptes Rendus. Mathématique, 2004 Abstract We prove the existence and uniqueness for a semilinear elliptic problem with memory, both in the weak and the classical setting. This problem describes the effective behaviour of a biological tissue under the injection of an electrical current in the radiofrequency range. To cite this article: M. Amar et al., C. R. Acad. Sci. Paris, Ser. I
AMAR, Micol +3 more
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Elliptic blowup equations for 6d SCFTs. Part IV. Matters
Journal of High Energy Physics, 2021 Given the recent geometrical classification of 6d (1, 0) SCFTs, a major question is how to compute for this large class their elliptic genera. The latter encode the refined BPS spectrum of the SCFTs, which determines geometric invariants of the ...
Jie Gu +4 more
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Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces
Mathematics, 2023 We investigate the half-space Dirichlet problem with summable boundary-value functions for an elliptic equation with an arbitrary amount of potentials undergoing translations in arbitrary directions.
Andrey B. Muravnik
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Elliptic Equations with Degenerate Weights
SIAM Journal on Mathematical Analysis, 2022 We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights.
Khripunova Balci, Anna +3 more
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AIMS Mathematics, 2023 This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations.
Jeong-Kweon Seo, Byeong-Chun Shin
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