Scattering of small solutions of a symmetric regularized-long-wave equation
Sevdzhan Hakkaev
Applicationes Mathematicae, Tome 31 (2004), p. 313-320 / Harvested from The Polish Digital Mathematics Library
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We study the decay in time of solutions of a symmetric regularized-long-wave equation and we show that under some restriction on the form of nonlinearity, the solutions of the nonlinear equation have the same long time behavior as those of the linear equation. This behavior allows us to establish a nonlinear scattering result for small perturbations.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:279064 
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     title = {Scattering of small solutions of a symmetric regularized-long-wave equation},
     journal = {Applicationes Mathematicae},
     volume = {31},
     year = {2004},
     pages = {313-320},
     zbl = {1060.35019},
     language = {en},
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Sevdzhan Hakkaev. Scattering of small solutions of a symmetric regularized-long-wave equation. Applicationes Mathematicae, Tome 31 (2004) pp. 313-320. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-3-6/