3 problems

Large-data local well-posedness under nontrapping conjecture
Let $s$ denote the Sobolev regularity exponent, and let Theorems and be the stated local well-posedness results for the two-dimensional and $n$ -dimensional cubic problems. Large-da…
opendispersive-equations local-well-posedness quasilinear-equations
0 responses
02
Generic sharpness conjecture for local well-posedness thresholds
Let $s$ denote the Sobolev regularity exponent, and let Theorems and be the local well-posedness results stated in the source for the two-dimensional and $n$ -dimensional cubic prob…
opendispersive-equations local-well-posedness quasilinear-equations
0 responses
02
Two-dimensional and higher-dimensional quasilinear global well-posedness conjecture
Consider quasilinear dispersive flows in two and higher spatial dimensions with cubic nonlinearities and sufficiently small initial data. Two-dimensional and higher-dimensional qua…
opendispersive-equations global-well-posedness quasilinear-equations
0 responses
03

Large-data local well-posedness under nontrapping conjecture