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Existence of solitary waves in higher dimensions
Authors:Walter A. Strauss
Affiliation:(1) Department of Mathematics, Brown University, 02912 Providence, Rhode Island, USA
Abstract:The elliptic equation Deltau=F(u) possesses non-trivial solutions inRn which are exponentially small at infinity, for a large class of functionsF. Each of them provides a solitary wave of the nonlinear Klein-Gordon equation.This work was supported in part by NSF Grant MCS 75-08827
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