Higher-order stochastic partial differential equations with branching noises

被引：6

作者：

Bo, Lijun ^{[1
,2
]}

Wang, Yongjin ^{[2
]}

Yan, Liqing ^{[3
]}

机构：

[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2008年 / 3卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Higher-order stochastic partial differential equation (SPDE); weak solution; tightness argument;

D O I：

10.1007/s11464-008-0006-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a class of higher-order stochastic partial differential equations (SPDEs) with branching noises. The existence of weak (mild) solutions is established through weak convergence and tightness arguments.

引用

页码：15 / 35

页数：21

共 50 条

[21] STOCHASTIC PARABOLIC EQUATIONS OF HIGHER-ORDER IN T
CURTAIN, RF
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 46 (01) : 93 - 103
[22] Relatively exact controllability for higher-order fractional stochastic delay differential equations
Huang, Jizhao
Luo, Danfeng
INFORMATION SCIENCES, 2023, 648
[23] A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations
Bernal, Francisco
Acebron, Juan A.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 20 (03) : 703 - 732
[24] AN INTEGRAL OPERATOR GENERATING SOLUTIONS OF PARTIAL-DIFFERENTIAL EQUATIONS OF HIGHER-ORDER
TOMANTSCHGER, KW
FOTR, F
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1988, 35 (1-2): : 141 - 147
[25] AN EXISTENCE SOLUTION TO AN IDENTIFICATION PARAMETER PROBLEM FOR HIGHER-ORDER PARTIAL DIFFERENTIAL EQUATIONS
Abildayeva, A. D.
Assanova, A. T.
Minglibayeva, B. B.
INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, 2020, 11 (01): : 28 - 35
[26] Some Malmquist type theorems on higher-order partial differential equations with delays
Cao, Tingbin
Cheng, Mengnan
Peng, Jiahu
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025,
[27] Higher-order Lidstone boundary value problems for elliptic partial differential equations
Wang, YM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 308 (01) : 314 - 333
[28] Oscillation for systems of higher-order neutral type delay partial differential equations
Lin, WX
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (01) : 107 - 114
[29] A novel method to impose boundary conditions for higher-order partial differential equations
Hu, Tianyi
Leng, Yu
Gomez, Hector
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 391
[30] HIGHER ORDER SPATIAL APPROXIMATIONS FOR DEGENERATE PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Hall, Eric Joseph
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (04) : 2071 - 2098

← 1 2 3 4 5 →