Bounded solutions of second order semicoercive evolution equations in a Hilbert space and of nonlinear telegraph equations.
Mawhin, J. (2000)
Rendiconti del Seminario Matematico
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Displaying similar documents to “-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions”
Bounded solutions of second order semicoercive evolution equations in a Hilbert space and of nonlinear telegraph equations.
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Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions
Irina Kmit (2007)
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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.
A second look at the first result of Landesman-Lazer type.
Lazer, Alan C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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