Conference on Nonlinear Partial Differential Equations, April 1999, Iowa City, Iowa

这次会议将把对非线性偏微分方程式感兴趣的世界数学家领袖聚集在一起。我们将集中学习非线性椭圆方程、曲面运动、流体动力学和数学物理中的方程。几乎所有的物理现象，如量子力学、流体力学和超导电性，都可以用偏微分方程组来描述。高温超导体的一个理论可以用一个非线性椭圆型方程来描述。分析这一方程将使我们更好地理解物理现象。在20世纪的最后一年，这是一个很好的时机，让我们把注意力集中在我们已经取得的成就和下个世纪将面临的新挑战上。这次会议的目的是回顾非线性偏微分方程的进展，更重要的是讨论新的挑战和新的应用。

The conference is to bring together the world leadersof mathematicians with interests in nonlinearpartial differential equations. We will focus on nonlinear elliptic equations, motions of surfaces, fluids dynamics and equations from mathematical physics. We expect the meeting to be a place in which many discussions and collaborations are initiated.Almost all physical phenomena, such as those in Quantum Mechanics,Fluid Mechanics and Superconductivity, are described in mathematicalterms by partial differential equations.One theory of high temperature superconductor can be described by a nonlinear elliptic equation. Analysis of this equationwill lead us to a better understanding of the physical phenomena.In the last year of the 20th century, it is a good time to focus our minds on what we have accomplished and on new challengesthat will face us in the next century. The aim of this conference is to review the progress and, more importantly, to discuss new challengesand new applications of nonlinear partial differential equations