On the analyticity of certain dissipative–dispersive systems

@inproceedings{Akrivis2013OnTA,
  title={On the analyticity of certain dissipative–dispersive systems},
  author={Georgios Akrivis and D. T. Papageorgiou and Yiorgos Sokratis Smyrlis},
  year={2013}
}
We study the analyticity properties of solutions of dissipative-dispersive evolutionary equations possessing global attractors. We utilize an analyticity criterion for spatially periodic functions, that involves the rate of growth of the L−norm of the n derivative, as n tends to infinity. This criterion is applied to the dispersively modified Kuramoto–Sivashinsky equation and a general class of semilinear evolutionary pseudo-differential equations, under certain conditions, provided they… CONTINUE READING

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