clopen.solutions

Open problems

980 registered problems.

OP-00152 Open
The sharp generic threshold for spectral-subspace rotation
SP · OpenProblemsInNLA · perturbation bounds · self-adjoint operators · spectral subspaces
OP-00317 Open
Excess Floquet multiplicity for complex periodic Schrödinger equations
SP · AIM Open Applied Problems · Hill operators · non-self-adjoint operators · periodic eigenvalues
OP-00355 Open
Completeness of modes for slowly growing imaginary Schrödinger potentials
SP · AIM Open Applied Problems · completeness of eigenfunctions · non-self-adjoint operators · Schrödinger operators
OP-00359 Open
Nonempty spectrum for a magnetic complex Airy operator at every field strength
SP · AIM Open Applied Problems · magnetic Schrödinger operators · non-self-adjoint operators · superconductivity
OP-00386 Solution claimed
Reality of the spectrum for a spherical strip with PT-symmetric boundary conditions
SP · AIM Open Applied Problems · non-self-adjoint operators · PT-symmetric operators · Robin boundary conditions
OP-00395 Solution claimed
An optimal Weyl remainder for interior transmission eigenvalues
SP · AIM Open Applied Problems · interior transmission eigenvalues · non-self-adjoint operators · Weyl's law
OP-00417 Open
Subunit-moment eigenvalue bounds for complex Schrödinger potentials
SP · AIM Open Applied Problems · complex potentials · Lieb–Thirring inequalities · non-self-adjoint operators