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arXiv · 0710.4853

Erratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

Philippe Mounaix·Pierre Collet·Joel L. Lebowitz
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Abstract

The proof of the inequality $λ_{q}(x,t)\le (qμ_{x,t} -0^+)^{-1}$ [p 750, below Eq. (29)] is based on the statement that ${\cal E}(x,t;s)$ is an entire function of $s\in {\mathbb C}^M$ [see below Eq. (30)]. But according to Equation (9) and Lemma 1, all we know is that ${\cal E}(x,t;s)$ is an entire function of $k(s)\in {\mathbb R}^N$. Nevertheless, the above inequality holds, hence the proposition 1.

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Philippe Mounaix, Pierre Collet, Joel L. Lebowitz. 2007-10-25. Erratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field. https://doi.org/10.1007/s00220-008-0462-0

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