Existence of ground states for fourth-order wave equations

2010/04/16 by Karageorgis, Paschalis, McKenna, P. J. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1004.2775

Abstract

Focusing on the fourth-order wave equation u_tt + Δ² u + f(u)= 0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds c∈ℝⁿ and a variety of nonlinearities f.

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