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arXiv · 1004.2775

Existence of ground states for fourth-order wave equations

Paschalis Karageorgis·P. J. McKenna
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Abstract

Focusing on the fourth-order wave equation $u_{tt} + Δ^2 u + f(u)= 0$, we prove the existence of ground state solutions $u=u(x+ct)$ for an optimal range of speeds $c\in\mathbb{R}^n$ and a variety of nonlinearities $f$.

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Paschalis Karageorgis, P. J. McKenna. 2010-04-16. Existence of ground states for fourth-order wave equations. https://arxiv.org/abs/1004.2775

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