Oberwolfach Reports

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Volume 10, Issue 3, 2013, pp. 2631–2689
DOI: 10.4171/OWR/2013/46

Published online: 2014-06-01

Lattice Differential Equations

Guillaume James[1], Dmitry Pelinovsky[2], Zoi Rapti[3] and Guido Schneider[4]

(1) Université Joseph Fourier, Grenoble, France
(2) McMaster University, Hamilton, Canada
(3) University of Illinois at Urbana-Champaign, USA
(4) Universität Stuttgart, Germany

The workshop focused on recent advances in the analysis of lattice differential equations such as discrete Klein-Gordon and nonlinear Schrödinger equations as well as the Fermi-Pasta-Ulam lattice. Lattice differential equations play an important role in emergent directions of modern science. These equations are fascinating subjects for mathematicians because they exhibit phenomena, which are not encountered in classical partial differential equations, on one hand, but they may present toy problems for understanding more complicated Hamiltonian differential equations, on the other hand.

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James Guillaume, Pelinovsky Dmitry, Rapti Zoi, Schneider Guido: Lattice Differential Equations. Oberwolfach Rep. 10 (2013), 2631-2689. doi: 10.4171/OWR/2013/46