Displaying similar documents to “ C 1 -smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions”

Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions

Irina Kmit (2007)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We study one-dimensional linear hyperbolic systems with L -coefficients subjected to periodic conditions in time and reflection boundary conditions in space. We derive a priori estimates and give an operator representation of solutions in the whole scale of Sobolev-type spaces of periodic functions. These spaces give an optimal regularity trade-off for our problem.