clopen.solutions

Open problems

980 registered problems.

OP-00468 Open
The sharp decay rate for waves damped on a disk
AP · AIM Open Applied Problems · damped wave equations · energy decay · resolvent estimates
OP-00546 Open
Simultaneously recover sound speed and initial pressure
AP · AIM Open Applied Problems · photoacoustic tomography · sound speeds · wave equations
OP-00569 Open
A data-independent time for global control of the defocusing cubic wave
OC · AIM Open Applied Problems · exact controllability · semilinear wave equations
OP-00625 Open
Soliton resolution for bounded nonradial energy-critical waves
AP · AIM Open Applied Problems · energy-critical wave equations · soliton resolution
OP-00640 Open
Global smoothness for the real scalar defocusing septic wave equation
AP · AIM Open Applied Problems · energy-supercritical equations · finite-time blow-up · nonlinear wave equations
OP-00681 Solution claimed
Sharp local smoothing for the three-dimensional wave equation
AP · AIM Open Applied Problems · Fourier integral operators · local smoothing · wave equation
OP-00696 Solution claimed
Optimal uniform observation time for mixed finite element waves
NA · AIM Open Applied Problems · boundary observability · mixed finite elements · wave equation
OP-00746 Solution claimed
Observability of an acoustic shell at equal bulk and surface speeds
OC · AIM Open Applied Problems · dynamic boundary conditions · observability · wave equation