NSF/CBMS Regional Conference in the Mathematical Sciences - New Perspectives for Boundary Value Problems and Their Asymptotics; May 16-20, 2005; Edinburg, TX

NSF/CBMS 数学科学区域会议 - 边值问题及其渐近问题的新视角；

• 批准号: 0433445
• 负责人: Lokenath Debnath
• 金额: $ 3.2万
• 依托单位: The University of Texas Rio Grande Valley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-01-01 至 2005-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0433445&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

An NSF-CBMS Regional Conference on New Perspectives for Boundary Value Problems and Their Asymptotics is proposed to be held at the Department of Mathematics, University of Texas-Pan American (UTPA), May 16-20, 2005. Professor Athanassios Fokas, Chair of Nonlinear Mathematical Sciences at the University of Cambridge, has agreed to serve as the Principal Lecturer of the conference. Professor Fokas will deliver ten lectures on the topic at the proposed conference. The objective of the proposed lectures is to give a self-contained and comprehensive exposition on a new method of Fokas and on the Deift-Zhou method for the analysis of boundary value problems and their asymptotics. These methods provide a unification as well as significant extension of the following three topics:(i) The classical transform methods for solving linear partial differential equations (PDEs) and several of its variants such as the method of images and the Wiener-Hopf technique,(ii) The integral representation of the solution of linear PDEs in terms of the Ehrenpreis fundamentalprinciple, and(iii) The inverse scattering method for solving the initial value problem for nonlinear evolutionequations. Special attention will be given to both the long time asymptotics and the zerodiffusion limit of boundary value problems for integrable nonlinear evolution PDEs.

NSF-CBMS关于边界价值问题的新观点的区域会议及其渐近学将于2005年5月16日至20日在德克萨斯 - 潘纳美国大学（UTPA）数学系举行。 Fokas教授将在拟议的会议上发表有关该主题的十篇讲座。 拟议的讲座的目的是对新的fokas和deift-zhou方法进行独立且全面的论述，以分析边界价值问题及其渐近学。这些方法提供了以下三个主题的统一以及显着扩展：（i）求解线性偏微分方程（PDE）的经典变换方法（PDES）及其几种变体及其诸如图像方法和Wiener-Hopf技术的方法，（ii）在eHrenpreis solunter-pirlist solunder solunders solunter soluental solunter soluental-pirter solunter solunter soluental soluthers yseralter-untersalters untersalters untersalt and and and solunters unterals the and and and anderalter-nister untersalt and（以及（非线性进化方程的初始价值问题。将特别关注长时间的渐近造型和可整合非线性进化PDE的边界价值问题的序列限制。