Sergey Dobrokhotov

The semi-classical Maupertuis–Jacobi correspondence for quasi-periodic Hamiltonian flows with applications to linear water waves theory

We extend to the semi-classical setting the Maupertuis-Jacobi correspondance for a pair of hamiltonians

Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side

(H(x,hD_x), {\cal H}(x,hD_x)

A Perturbative Theory of the Evolution of the Center of Typhoons

. If

The semi classical Maupertuis-Jacobi correspondence: Stable and unstable spectra

{\cal H}(p,x)

Generalized Maslov canonical operator and tsunami asymptotics over nonuniform bottom. I

is completely integrable, or has merely has invariant diohantine torus

Semi-classical Green functions

\Lambda

On applications of Maupertuis-Jacobi correspondence for Hamiltonians

in energy surface

F(x,|p|)

{\cal E}

in some 2-D stationary semiclassical problems

, then we can construct a family of quasi-modes for

Exact and asymptotic local solutions of the one dimensional nonlinear wave equation with degenerate velocity

H(x,hD_x)