clopen.solutions

Open problems

980 registered problems.

OP-00442 Open
Global L2 scattering for the planar hyperbolic cubic Schrödinger equation
AP · AIM Open Applied Problems · dispersive equations · nonlinear Schrödinger equations · scattering
OP-00463 Open
Can bounded positive time-dependent potentials trap a Schrödinger wave?
MP · AIM Open Applied Problems · bound states · Schrödinger equations · time-dependent potentials
OP-00551 Solution claimed
Sharp exponential cost of fast boundary quantum control
OC · AIM Open Applied Problems · control costs · null controllability · Schrödinger equations
OP-00585 Open
One cubic NLS trajectory with unbounded Sobolev norm
AP · AIM Open Applied Problems · energy cascades · nonlinear Schrödinger equations
OP-00633 Open
Finite-time collapse in the planar self-steepening Schrödinger equation
AP · AIM Open Applied Problems · derivative nonlinear Schrödinger equations · finite-time blow-up
OP-00802 Solution claimed
Intercritical norm inflation for the dispersion-managed Schrödinger equation
AP · AIM Open Applied Problems · dispersion management · nonlinear Schrödinger equations · norm inflation
OP-00803 Solution claimed
Global smooth propagation for a laser envelope coupled to ionization
AP · AIM Open Applied Problems · laser filamentation · nonlinear Schrödinger equations
OP-00916 Open
Uniqueness of the zero-average dispersion-managed soliton
AP · AIM Open Applied Problems · dispersion management · ground states · nonlinear Schrödinger equations