D. Kapanadze

Pseudo-differential equations in anisotropic weighted Bessel potential spaces with asymptotics

abstract:
In the present paper we investigate the asymptotics of solutions of pseudo-differential equations in anisotropic weighted Bessel potential spaces on manifolds with smooth boundary. Using the method suggested by Duduchava and Chkadua we obtain complete asymptotic expansion of a solution near the boundary, when the given data has a certain discrete asymptotic type.

Mathematics Subject Classification: 58J05, 35C20, 47G30.

Key words and phrases: Pseudo-differential equations, Fredholm property, anisotropic weighted Bessel potential spaces, asymptotics of solutions.