Asymptotic distribution of resonances for convex obstacles
The paper deals with the subject of locating and estimating resonances for convex bodies. It continues authors' previous work on upper bounds on the number of resonances in neighbourhoods of the real axis. The authors turn resonances into eigenvalues of a nonselfadjoint operator, proceed to a second microlocal reduction of the scaled problem to the boundary and establish a trace formula for the reduced problem.
scientific article; zbMATH DE number 1541215
scientific article