抄録
We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 751-785 |
| ページ数 | 35 |
| ジャーナル | Communications on Pure and Applied Analysis |
| 巻 | 17 |
| 発行部数 | 3 |
| DOI | |
| 出版物ステータス | 出版済み - 5 1 2018 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
これを引用
Existence results for linear evolution equations of parabolic type. / Ta, Ton Viet.
：: Communications on Pure and Applied Analysis, 巻 17, 番号 3, 01.05.2018, p. 751-785.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Existence results for linear evolution equations of parabolic type
AU - Ta, Ton Viet
PY - 2018/5/1
Y1 - 2018/5/1
N2 - We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.
AB - We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.
UR - http://www.scopus.com/inward/record.url?scp=85044411471&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044411471&partnerID=8YFLogxK
U2 - 10.3934/cpaa.2018039
DO - 10.3934/cpaa.2018039
M3 - Article
VL - 17
SP - 751
EP - 785
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
SN - 1534-0392
IS - 3
ER -