Corrections and improvements to: on the stochastic heat equation with spatially-colored random forcing

Mohammud Foondun, Davar Khoshnevisan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Theorems 1.8 and 1.11 of [1] state that if Lσ is sufficiently large (that is, if there is enough noise in the system), then the Lyapunov exponents are positive. In this sense, both theorems are correct. However, the quantitative bounds on the Lyapunov exponents are not correctly derived and need to be adjusted. We do this here, and also describe how to slightly improve Condition 1.10 of that paper in this particular context.
Original languageEnglish
Pages (from-to)561-562
Number of pages2
JournalTransactions of the American Mathematical Society
Volume366
Issue number1
Early online date18 Sep 2013
DOIs
Publication statusPublished - 31 Jan 2014
Externally publishedYes

Keywords

  • Lévy processes
  • spatially-colored homogeneous noise
  • stochastic heat equation

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