学术报告:Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise equations with random noise

报告人:宋泽芳副教授

报告时间:20251030日上午10:00

腾讯会议号:651-761-652

报告摘要:Considered herein is the forward/backward problems for fractional damped wave equations  subject to the random Gaussian white noise initial and final data. Construct the mild solutions to forward/backward problems under all cases for parameters, and then investigate their stability and instability properties in the sense of Hadamard. Propose the regularized solutions by using the Fourier truncation method and establish well-posedness for regularized solutions in above unstable cases. Derive some error estimates between the exact solutions and their regularized solutions, and theoretically characterize the Fourier truncation approximation effect from regularized solutions to exact solutions.

报告人简介:宋泽芳,广州大学经济与统计学院副教授。研究兴趣:金融时间序列分析、潜变量分析、贝叶斯推断、投资者情绪分析等。主持国家自然科学基金项目1项,在《Science China-Mathematics》、《Applied Numerical Mathematics》、《系统工程理论与实践》、《数理统计与管理》等期刊上发表学术论文十余篇。

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