The stochastic wave equations driven by fractional and colored noises

被引：0

作者：

Dan Tang

Yong Jin Wang

机构：

[1] Nankai University,School of Mathematical Sciences and LPMC

[2] Nankai University,School of Mathematical Sciences and School of Business

来源：

Acta Mathematica Sinica, English Series | 2010年 / 26卷

关键词：

fractional spatial colored noise; process-valued solution; stochastic wave equations; 60H15; 35R60; 35P10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate a wave equation in the plane with an additive noise which is fractional in time and has a non-degenerate spatial covariance. The equation is shown to admit a process-valued solution. Also we give a continuity modulus of the solution, and the Hölder continuity is presented.

引用

页码：1055 / 1070

页数：15

共 50 条

[1] The Stochastic Wave Equations Driven by Fractional and Colored Noises
Dan TANG School of Mathematical Sciences and LPMC
ActaMathematicaSinica(EnglishSeries), 2010, 26 (06) : 1055 - 1070
[2] The stochastic wave equations driven by fractional and colored noises
Tang, Dan
Wang, Yong Jin
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (06) : 1055 - 1070
[3] Stochastic Fractional Heat Equations Driven by Fractional Noises
Sun, Xichao
Li, Ming
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[4] Stochastic generalized Burgers equations driven by fractional noises
Jiang, Yiming
Wei, Tingting
Zhou, Xiaowen
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) : 1934 - 1961
[5] Stochastic dynamics driven by two colored noises
Ke, Shengzhi
Cao, Li
Wu, Dajin
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 27 (06): : 98 - 99
[6] Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
Zou, Guang-an
Lv, Guangying
Wu, Jiang-Lun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (01) : 595 - 609
[7] Stochastic partial differential equations driven by space-time fractional noises
Hu, Ying
Jiang, Yiming
Qian, Zhongmin
STOCHASTICS AND DYNAMICS, 2019, 19 (02)
[8] Stochastic partial differential equations with gradient driven by space-time fractional noises
Yiming Jiang
Xu Yang
Frontiers of Mathematics in China, 2021, 16 : 479 - 497
[9] Stochastic partial differential equations with gradient driven by space-time fractional noises
Jiang, Yiming
Yang, Xu
FRONTIERS OF MATHEMATICS IN CHINA, 2021, 16 (02) : 479 - 497
[10] On the intermittency front of stochastic heat equation driven by colored noises
Hu, Yaozhong
Huang, Jingyu
Nualart, David
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2016, 21

← 1 2 3 4 5 →