节点文献
带跳的无穷维随机偏微分方程的逐次逼近
Successive approximations of infinite dimensional SPDEs with jump
【摘要】 考虑一类带跳的无穷维随机偏微分方程,利用逐次逼近法,研究系数在非L ipch itiz情形下方程的适度解的存在性和唯一性,改进和推广了相关文献的结论.
【Abstract】 Taking consideration of a kind of infinite dimensional SPDEs with jump,the author used successive approximation method to investigate the existence and uniqueness of mild solutions of the coefficients under a non-Lipschtizian condition.Some results presented in the literatures were improved and generalized.
【关键词】 逐次逼近;
Poisson点过程;
无穷维随机偏微分方程;
存在唯一性;
适度解;
【Key words】 successive approximation; Posson point process; infinite dimensional SPDEs; existence and uniqueness; mild solution;
【Key words】 successive approximation; Posson point process; infinite dimensional SPDEs; existence and uniqueness; mild solution;
【基金】 国家自然科学基金项目(10301016);教育部留学回归人员基金项目(2005-546);广东省自然科学基金项目(5301034);湖南省杰出青年基金项目(04JJ1001)
- 【文献出处】 广州大学学报(自然科学版) ,Journal of Guangzhou University(Natural Science Edition) , 编辑部邮箱 ,2006年05期
- 【分类号】O211.63
- 【被引频次】1
- 【下载频次】201