Elliptic partial differential equations: theory and applications

椭圆偏微分方程：理论与应用

• 批准号: RGPIN-2015-05713
• 负责人: Cowan, Craig
• 金额: $ 1.17万
• 依托单位: University of Manitoba
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=590593
• 关键词: Elliptic; partial; differential; equations; theory

Partial differential equations (pde's) lie at the heart of many mathematical models which attempt to describe various physical phenomena in the real world.    Because of this understanding pde's is of the utmost importance.   Mathematically pde's is a very broad area and generally one concentrates on certain classes of pde's.   My area of expertise is in the area of elliptic partial differential equations and in particular in the area of semilinear and quasilinear elliptic pde's.

偏微分方程（pde）是许多试图描述真实的世界中各种物理现象的数学模型的核心。 由于这种理解，偏微分方程是最重要的。 在数学上偏微分方程是一个非常广泛的领域，一般集中在某些类的偏微分方程。 我的专长领域是椭圆型偏微分方程，特别是半线性和拟线性椭圆型偏微分方程。