SOME STABILITY RESULTS FOR SEMILINEAR STOCHASTIC HEAT EQUATION DRIVEN BY A FRACTIONAL NOISE

被引:4
作者
El Barrimi, Oussama [1 ]
Ouknine, Youssef [2 ,3 ]
机构
[1] Cadi Ayyad Univ, Dept Math, Fac Sci Semlalia, Marrakech 2390, Morocco
[2] Hassan II Acad Sci & Technol Rabat, Rabat, Morocco
[3] Mohammed VI Polytech Univ, Ben Guerir, Morocco
关键词
stochastic heat equation; fractional noise; pathwise uniqueness; INTEGRALS; SPDES;
D O I
10.4134/BKMS.b180445
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider a semilinear stochastic heat equation driven by an additive fractional white noise. Under the pathwise uniqueness property, we establish various strong stability results. As a consequence, we give an application to the convergence of the Picard successive approximation.
引用
收藏
页码:631 / 648
页数:18
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