Existence of ground states for fourth-order wave equations

Details Existence of ground states for fourth-order wave equations Existence of ground states for fourth-order wave equations

2010-04-16

arxiv.org/abs/1004.2775v1

Mathematics

Analysis of PDEs

Scientific paper

Focusing on the fourth-order wave equation $u_{tt} + \Delta^2 u + f(u)= 0$,
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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