Uniform asymptotics of solutions of the wave operator with meromorphic coefficients
Maria Viktorovna Korovina, Hovik A. Matevossian, Il'ya Nikolaevich Smirnov · Applicable Analysis · 2021
We study the problem of wave propagation in the medium whose velocity characteristics change under an external impact. We will study a three-dimensional case. The aim of our study is constructing the asymptotic of the solution for the wave operator with a variable time depended coefficient of the Laplacian at infinity. The case of meromorphic and holomorphic coefficients is considered.