Journal of Differential EquationsVolume 46, Issue 3, December 1982, Pages 409-425Global existence of small solutions to nonlinear evolution equationsAuthor links open overlay panelJalal ShatahShow moreShareCitehttps://doi.org/10.1016/0022-0396(82)90102-4Get rights and contentUnder an Elsevier user licenseopen archiveAbstractWe study the global existence and asymptotic behaviour of “small” solutions of a large class of nonlinear partial differential equations. If the nonlinear terms are of high degree the solutions will be asymptotic to solutions of the linear equation.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1982 Published by Elsevier Inc.