Displaying similar documents to “Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations”

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

Irina Kmit (2007)

Commentationes Mathematicae Universitatis Carolinae

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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.