scholarly journals Self-dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian

2018 ◽  
Vol 927 ◽  
pp. 550-565 ◽  
Author(s):  
A. Zabrodin ◽  
A. Zotov
Keyword(s):  
Discrete Laplacian ◽  
Dual Form

Dynamics of a Contact Structure Along a Vector Field of its Kernel

2008 ◽  
Vol 8 (1) ◽  
Author(s):  
Abbas Bahri ◽  
Yongzhong Xu
Keyword(s):  
Vector Field ◽  
Variational Problem ◽  
Contact Structure ◽  
Contact Form ◽  
Dual Form

AbstractIn this paper we prove that in order to define the homology of [3], the hypothesis that there exists a vector field in the kernel of the contact form which defines a dual form with the same orientation is not essential. The technique is quantitative: as we introduce a large amount of rotation near the zeroes of the vector field in the kernel, we track down the modification of the variational problem and provide bounds on a key quantity (denoted by τ).

scholarly journals Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

2018 ◽  
Vol 330 ◽  
pp. 688-738 ◽  
Author(s):  
Óscar Ciaurri ◽  
Luz Roncal ◽  
Pablo Raúl Stinga ◽  
José L. Torrea ◽  
Juan Luis Varona
Keyword(s):  
Diffusion Equations ◽  
Discrete Laplacian
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