JournalsowrVol. 10, No. 3pp. 2631–2689

Lattice Differential Equations

  • Guillaume James

    Université Joseph Fourier, Grenoble, France
  • Dmitry Pelinovsky

    McMaster University, Hamilton, Canada
  • Zoi Rapti

    University of Illinois at Urbana-Champaign, USA
  • Guido Schneider

    Universität Stuttgart, Germany
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Abstract

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.

Cite this article

Guillaume James, Dmitry Pelinovsky, Zoi Rapti, Guido Schneider, Lattice Differential Equations. Oberwolfach Rep. 10 (2013), no. 3, pp. 2631–2689

DOI 10.4171/OWR/2013/46