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Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
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]
R. M. Redheffer, E. G. Straus
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The Existence of Entropy Solutions for an Elliptic Problems Involving Variable Exponent
In order to study the entropy solution of a class of quasilinear elliptic equations with variable exponents, first, the approximation problem of elliptic equations is established under weak operator conditions, and then the Sobolev embedding theorem ...
LU Yue-ming, LIU Yang
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An elliptic equation with history [PDF]
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AMAR, Micol+3 more
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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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Elliptic blowup equations for 6d SCFTs. Part IV. Matters
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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Differential-Difference Elliptic Equations with Nonlocal Potentials in Half-Spaces
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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Unique Continuation for Elliptic Equations [PDF]
M. H. Protter
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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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Elliptic equations and BMO-functions
See directly the ...
Carlo Sbordone
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