2018年1月
Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises
JOURNAL OF DIFFERENTIAL EQUATIONS
- 巻
- 264
- 号
- 2
- 開始ページ
- 1050
- 終了ページ
- 1079
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jde.2017.09.028
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
In this paper, the main topic is to investigate the intermittent property of the one-dimensional stochastic heat equation driven by an inhomogeneous Brownian sheet, which is a noise deduced from the study of the catalytic super-Brownian motion. Under some proper conditions on the catalytic measure of the inhomogeneous Brownian sheet, we show that the solution is weakly full intermittent based on the estimates of moments of the solution. In particular, it is proved that the second moment of the solution grows at the exponential rate. The novelty is that the catalytic measure relative to the inhomogeneous noise is not required to be absolutely continuous with respect to the Lebesgue measure on R. (C) 2017 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jde.2017.09.028
- ISSN : 0022-0396
- eISSN : 1090-2732
- Web of Science ID : WOS:000415908100017