We consider the wave equations with perturbation of the first order differential operators, the coefficients of which depend on both the space and time variables. Under suitable conditions on the ...

Transactions of the American Mathematical Society, Vol. 352, No. 8 (Aug., 2000), pp. 3799-3820 (22 pages) Let H be a generalized N body Schrodinger operator with very short range potentials. Using ...

This image is a simulation of a kind of acoustic wave called a Rayleigh-Bloch wave. The stripes of light and dark areas represent the “peaks" and “troughs" of the waves and are shaped by their ...