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math.AP2020
Microscopic conservation laws for integrable lattice models
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We consider two discrete completely integrable evolutions: the Toda Lattice and the Ablowitz-Ladik system. The principal thrust of the paper is the development of microscopic conse…
math.AP2020
Local well-posedness for a quasilinear Schrödinger equation with degenerate dispersion
Benjamin Harrop-Griffiths, Jeremy L. Marzuola
We consider a quasilinear Schrödinger equation on for which the dispersive effects degenerate when the solution vanishes. We first prove local well-posedness for suffic…