Regularity of degenerate elliptic equations and systems, and applications to evolutionary equations and monge-ampere equations

简并椭圆方程和系统的正则性及其在演化方程和蒙日-安培方程中的应用

• 批准号: 341250-2007
• 负责人: Rios, Cristian
• 金额: $ 0.87万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=482017
• 关键词: Regularity; degenerate; elliptic; equations; systems

This program is concentrated in different areas of Partial Differential Equations (PDEs), with the common thread that they concern problems where the coefficients are "rough" or where the equations do not satisfy a certain desirable structural assumption (called ellipticity), what makes their treatment more challenging. Such PDEs are of paramount importance in pure and applied sciences, since they greatly contribute to the understanding of phenomena such as heat transfer, market pricing, electrodynamics, and celestial mechanics, among many others.

该程序集中在偏微分方程（PDE）的不同领域，其共同点是它们涉及系数“粗糙”或方程不满足某些理想的结构假设（称为椭圆度）的问题，这使得它们的处理更具挑战性。这样的偏微分方程在纯科学和应用科学中是至关重要的，因为它们极大地促进了对传热、市场定价、电动力学和天体力学等现象的理解。