Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 751-785 |
| Number of pages | 35 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 2018 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
Existence results for linear evolution equations of parabolic type. / Ta, Tôn Viêt.
In: Communications on Pure and Applied Analysis, Vol. 17, No. 3, 05.2018, p. 751-785.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Existence results for linear evolution equations of parabolic type
AU - Ta, Tôn Viêt
PY - 2018/5
Y1 - 2018/5
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=85044411471&partnerID=8YFLogxK
U2 - 10.3934/cpaa.2018039
DO - 10.3934/cpaa.2018039
M3 - Article
AN - SCOPUS:85044411471
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 -