Analyticity for a class of non-linear evolutionary pseudo-differential equations
2014 ◽
Vol 25
(6)
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pp. 783-793
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Keyword(s):
We study the analyticity properties of solutions for a class of non-linear evolutionary pseudo-differential equations possessing global attractors. In order to do this we utilise an analyticity criterion for spatially periodic functions, which involves the rate of growth of a suitable norm of the nth derivative of the solution, with respect to the spatial variable, as n tends to infinity. This criterion can be used to a wide class of dissipative-dispersive partial differential equations, provided they possess global attractors. Using this criterion and the spectral method developed in Akrivis et al. [1] we have improved previous results.
2017 ◽
Vol 348
◽
pp. 385-400
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1977 ◽
Vol 76
(4)
◽
pp. 283-300
◽
1981 ◽
pp. 290-298
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