Differential equations

Existence, smoothness and long-time behavior of solutions to evolution equations.

Waves and spectra

Vibration frequencies, high-frequency wave patterns and reconstruction from frequency information.

3 problems

A few problems to explore

2 total

Pólya’s eigenvalue conjecture

Does the area of a planar region impose a sharp lower bound on every Dirichlet vibration frequency, rather than only on high frequencies in the limit?

Browse all 2 problems