A modified method of stochastic regularization for an ill-posed Cauchy problem

作者：Lu, Yifeng^*

来源：Journal of Mathematical Analysis and Applications, 2013, 400(1): 273-284.

DOI：10.1016/j.jmaa.2012.11.007

• Ill-posed Cauchy problem
• Stochastic regularization
• Fractional power
• Functional calculus

This paper is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator in a Banach space. We investigate a method of stochastic regularization for this ill-posed Cauchy problem by using fractional powers and functional calculus for the sectorial operators.

• 出版日期2013-4-1
• 单位华中科技大学