Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841376 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
Focusing on the fourth-order wave equation utt+Δ2u+f(u)=0utt+Δ2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct)u=u(x+ct) for an optimal range of speeds c∈Rnc∈Rn and a variety of nonlinearities ff.
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Authors
Paschalis Karageorgis, P.J. McKenna,