Abstract

The linear spaces generated by the eigenfunctions of a differential operator are well-known in applied mathematics. In this paper we examine their interpolation properties, connection with Sobolev spaces and apply these results to the solving of hyperbolic equation in Sobolev spaces of fractional order.

Keywords: Interpolation of Banach spaces, Sobolev spaces, hyperbolic equation.

MSC: 46B70, 46E35, 34G10

Pages:  51$-$57     

Volume  48 ,  Issue  1$-$2 ,  1996