A priori estimates, regularity, and asymptotics for nonlocal in time nonlinear partial differential equations

时间非局部非线性偏微分方程的先验估计、正则性和渐近性

• 批准号: 235869972
• 负责人: Professor Dr. Rico Zacher
• 金额: --
• 依托单位: Institut für Angewandte Analysis
• 依托单位国家: 德国
• 项目类别: Heisenberg Fellowships
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/235869972?language=en
• 关键词: priori; estimates; regularity; asymptotics; nonlocal

The precondition for a Heisenberg Programme funding is high scientific quality and originality of the research project at international level and suitability for further qualification as a university teacher. Applicants need to meet all the requirements for appointment to a permanent professorship.The aim of this programme is to enable outstanding scientists to prepare for a scientific leadership function, and simultaneously work on further research topics. This research does not necessarily need to be planned and carried out in the form of a project.For this reason, and unlike the procedure in other funding programmes, both the abstracts of applications and final reports are not required and will therefore not be published in GEPRIS.

海森堡计划资助的先决条件是研究项目具有国际水平的高科学质量和原创性以及是否适合进一步获得大学教师资格。申请人需要满足任命为常任教授的所有要求。该项目的目的是让杰出的科学家为担任科学领导职务做好准备，同时致力于进一步的研究课题。这项研究不一定需要以项目的形式进行规划和实施。因此，与其他资助计划的程序不同，不需要申请摘要和最终报告，因此不会在吉普里斯。

项目成果

Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods

通过能量方法对时间分数方程和其他非局部次扩散方程进行最优衰减估计

• DOI: 10.1137/130941900
• 发表时间: 2013-10-01
• 期刊: SIAM J. Math. Anal.
• 作者: Vicente Vergara;Rico Zacher
• 通讯作者: Rico Zacher