Mathematical Sciences: NSF-CBMS Regional Conference on Nonlinear Wave Equations; June 6-10, 1988

长期以来，非线性波动方程理论在物理学和应用数学中一直扮演着重要的角色，例如在气体和液体理论、基本粒子理论和宇宙学中。他们的数学研究可以追溯到黎曼，但直到20世纪60年代的S，分析方法才发展到足以进行系统研究的程度。在这十年中，有几个重大突破，包括整体存在理论、爆破理论、孤立子理论、散射理论、逆散射方法和激波理论的诞生。这一主题继续经历着快速的变化。20世纪80年代以来，S的主要发展包括对重要的特殊系统如Minkowski-Yang-Mills方程和Vlasov-Maxwell方程的研究，孤立波稳定性理论的发展，以及关于小振幅解和弱奇性传播的一般结果。这次会议将专门讨论非线性波动方程。该主题的主要设计者之一沃尔特·A·施特劳斯将担任主要演讲人，并将发表一系列十场演讲。

The theory of nonlinear wave equations has long played a prominent role in physics and applied mathematics, for instance in theories of gases and liquids, in the theory of elementary particles, and in cosmology. Their mathematical study goes back to Riemann, but methods of analysis were not sufficiently developed for a systematic study until the 1960's. In this decade there were several major breakthroughs, including the beginnings of theories of global existence, blow up, solitons, scattering, the inverse scattering method, and shock waves. The subject has continued to undergo rapid change. Major developments in the 1980's have included the study of important special systems like the Minkowski-Yang-Mills equations and the Vlasov-Maxwell equations, the development of a stability theory of solitary waves, and general results on solutions of small amplitude and on the propagation of weak singularities. This conference will be devoted to nonlinear wave equations. Walter A. Strauss, one of the principal architects of the subject, will be the main speaker and will deliver a series of ten lectures.