报告人：Georgios Akrivis（约阿尼纳大学）

邀请人：李东方

报告时间：2022年10月31日（星期一）15:00-17:00

报告地点：Zoom number: 830 4142 5698  password：123456.  

报告题目：Analysis of the implicit Euler method in the maximal parabolic regularity framework

报告摘要：Ihe maximal L p -regularity property is of central importance in the theory of nonlinear parabolic equations. Combined with other techniques, such as interpolation theory, Sobolev methods, and fixed point theorems, it provides a powerful tool. In the first part of the talk we discuss to some detail the concept of the maximal parabolic Lp -regularity in the continuous case. Then, we consider the discretization of differential equations in UMD Banach spaces satisfying the maximal parabolic L p -regularity property by a simple method, the implicit Euler method, which is known to preserve the maximal Lp -regularity. We discuss the derivation of optimal order a priori as well as a posteriori error estimates in the maximal parabolic regularity framework. We also briefly discuss the extension of the results to the case of nonautonomous parabolic equations

报告人简介：Georgios Akrivis希腊约阿尼拉大学教授，SIAM J Num. Anal 编委。计算数学顶级专家，主要研究微分方程数值解。在Numer Math, Math Comput, SIAM. J. Numer. Anal等杂志发表SCI论文50余篇。