Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations
Eduard Feireisl (1990)
Czechoslovak Mathematical Journal
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Eduard Feireisl (1990)
Czechoslovak Mathematical Journal
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Hana Petzeltová, Milan Štědrý (1984)
Časopis pro pěstování matematiky
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Krejčí, Pavel
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Irina Kmit (2007)
Commentationes Mathematicae Universitatis Carolinae
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We study one-dimensional linear hyperbolic systems with -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.