U.S.-Chile: Non Linear Boundary Value Problems

美国-智利：非线性边值问题

• 批准号: 9402928
• 负责人: Klaus Schmitt
• 金额: $ 0.63万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9402928&HistoricalAwards=false
• 关键词: U.S.; Chile; Non; Linear; Boundary

9402928 Schmitt This U.S.-Chile Cooperative Science award will support a collaboration between Dr. Klaus Schmitt, University of Utah, and Dr. Raul Manasevich, University of Chile, in a study on boundary value problems for nonlinear partial differential equations. The purpose of the research is to study quasilinear problems, with the goal of establishing global results about the solution structures of such problems, with emphasis on the development of a bifurcation theory. Problems with nonlinear partial differential equations of elliptic type which are parameter dependent and subject to nonlinear constraints arise in a multitude of applied areas, such as the study of porous media, plasma problems, and astrophysics. The theory of quasilinear equations is just now being developed, and an understanding of the bifurcation possibilities is an important aspect that needs to be studied. Both researchers are considered experts in the field, and their collaboration could result in a major contribution to this area. ***

施密特9402928 这个美国-智利合作科学奖将支持犹他州大学的Klaus施密特博士和智利大学的Raul Manasevich博士在非线性偏微分方程边值问题研究方面的合作。 本研究的目的是研究拟线性问题，目标是建立关于此类问题的解结构的全局结果，重点是发展分支理论。 非线性椭圆型偏微分方程的参数依赖和非线性约束的问题出现在许多应用领域，如多孔介质的研究，等离子体问题，天体物理学。 拟线性方程的理论刚刚发展起来，对分歧可能性的理解是需要研究的一个重要方面。 两位研究人员都被认为是该领域的专家，他们的合作可能会对这一领域做出重大贡献。 ***