### Abstract

Language | English |
---|---|

Pages | 561-562 |

Number of pages | 2 |

Journal | Transactions of the American Mathematical Society |

Volume | 366 |

Issue number | 1 |

Early online date | 18 Sep 2013 |

DOIs | |

Publication status | Published - 31 Jan 2014 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### Cite this

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*Transactions of the American Mathematical Society*, vol. 366, no. 1, pp. 561-562. https://doi.org/10.1090/S0002-9947-2013-06201-0

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Corrections and improvements to

T2 - Transactions of the American Mathematical Society

AU - Foondun, Mohammud

AU - Khoshnevisan, Davar

PY - 2014/1/31

Y1 - 2014/1/31

N2 - 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.

AB - 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.

KW - Lévy processes

KW - spatially-colored homogeneous noise

KW - stochastic heat equation

UR - http://www.scopus.com/inward/record.url?scp=84886408376&partnerID=8YFLogxK

UR - http://www.ams.org/publications/journals/journalsframework/tran

U2 - 10.1090/S0002-9947-2013-06201-0

DO - 10.1090/S0002-9947-2013-06201-0

M3 - Article

VL - 366

SP - 561

EP - 562

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 1

ER -