Prairie Analysis Seminar 2003

草原分析研讨会是堪萨斯州立大学和堪萨斯大学的一个联合项目，将于2003年10月举行。 这是在2001年10月和2002年成功举行两次会议之后举行的。计划在今后几年的10月举行更多的会议。分析领域的主题每年都有所不同;今年的主题是“p-谐波函数”。会议汇集了三位主要研究人员，锡拉丘兹大学的Tadeusz Iwaniec教授，肯塔基州大学的John刘易斯教授和匹兹堡大学的Juan Manfredi教授进行主要演讲。 Iwaniec教授关于无界失真的拟调和场的工作可应用于非均匀椭圆偏微分方程，包括非各向同性偏微分方程。 刘易斯教授最近与人合作成功解决了长期存在的加藤平方根问题，他过去的工作包括非线性势理论和抛物偏微分方程的研究。 曼弗雷迪教授最近的工作是无穷拉普拉斯和过去的工作包括贡献的研究p-拉普拉斯方程。 我们希望这次会议能把这些和其他领域的专家以及新来的人聚集在一起。在这个地区没有常设的分析会议，秋季只有很少的其他会议。 组织者安排会议的方式是尽量减少主办大学和与会者的费用。 这使得广泛的数学家参加-数学家在各个阶段在他们的职业生涯和各种机构。 特别是，我们鼓励在他们的职业生涯的早期阶段的数学家参加，并给出了贡献的谈话，让他们有机会展示自己的工作，并提高他们在数学界的知名度。 该会议历来吸引了来自整个地区的小型大学和学院的一些研究人员。 这促进了这些机构之间以及这些机构与我们之间富有成效的互动。组织者的意图是继续努力吸引这些研究人员。 主要发言人打算出版会议记录。 传播这一知识将对实地和相关领域的人员有用。 需要强调的是，在会议的所有公告中，组织者通过他们的专业联系，鼓励并特别支持早期数学家和传统上代表性不足的少数群体的参与。

The Prairie Analysis Seminar, a joint project of Kansas State University and the University of Kansas, will be held in October 2003. This follows two successful meetings in October 2001 and 2002. Further meetings in October of the coming years are planned. The topic within the field of analysis varies from year to year;this year's theme is ``p-harmonic functions". The conference brings together three leading researchers, Professors Tadeusz Iwaniec of Syracuse University, John Lewis of the University of Kentucky, and Juan Manfredi of the University of Pittsburgh to give the main lectures. Professor Iwaniec's work on quasiharmonic fields of unbounded distortion has applications to non-uniformly elliptic PDEs including non-isotropic PDEs. Professor Lewis has recently coauthored the successful resolution of the long-standing Kato-square root problem, and his past work has included nonlinear potential theory and the study of parabolic PDEs. Professor Manfredi's recent work is on the infinity-Laplacian and past work includes contributions to the study of the p-Laplace equation. We expect the meeting to bring together these and other experts in the field as well as newcomers.There are no standing conferences in analysis and only rarely other conferences in this region in the fall. The organizers have structured the conference in such a way so as to keep the costs for the host university and participants to a minimum. This allows a wide range of mathematicians to attend--mathematicians at all stages in their careers and from a variety of institutions. In particular, we encourage mathematicians in the early stages of their careers to attend and give a contributed talk, giving them an opportunity to show their work and increase their visibility in the mathematical community. The conference has historically attracted a number of researchers from small universities and colleges throughout the region. This has fostered fruitful interaction among these institutions, and between these institutions and ours. It is the intent of the organizers to continue to work to attractthese researchers. It is the intention of the main speakers to publish a proceedings of the conference. Dissemination of this knowledge will be of use to those in the field and related areas. It is to be emphasized that in all announcements of the meeting, and through their professional contacts, the organizers encourage andparticularly support participation of mathematicians early in their career and of traditionally underrepresented minorities.