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.
LanguageEnglish
Pages561-562
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

Fingerprint

Stochastic Heat Equation
Lyapunov Exponent
Forcing
Theorem
Hot Temperature
Context

Keywords

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

Cite this

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Corrections and improvements to : on the stochastic heat equation with spatially-colored random forcing. / Foondun, Mohammud; Khoshnevisan, Davar.

In: Transactions of the American Mathematical Society, Vol. 366, No. 1, 31.01.2014, p. 561-562.

Research output: Contribution to journalArticle

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