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