MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On some function spaces that appear in applied mathematics
Vladimir Jovanović

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.

Creative Commons License

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

MSC: 46B70, 46E35, 34G10

Pages:  51--57     

Volume  48 ,  Issue  1$-$2 ,  1996