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Existence of ground states for fourth-order wave equations

Published 16 Apr 2010 in math.AP | (1004.2775v1)

Abstract: Focusing on the fourth-order wave equation $u_{tt} + \Delta2 u + f(u)= 0$, 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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