论文标题
非线性双曲方程的异常解决方案
Anomalous solutions to nonlinear hyperbolic equations
论文作者
论文摘要
在过去的几十年中，对半线性双曲线方程的足够定期解决方案的行为引起了广泛关注，关于本地/全球存在，有限的时间爆炸，关键的指数和奇异点的传播。较低规律性的溶液可能会表现出奇异性的意外（异常）传播。本文的目的是提出到目前为止文献中似乎还没有解决的各种引人注目的例子。关键问题是对非线性操作的解释。
The behavior of sufficiently regular solutions to semilinear hyperbolic equations has attracted a great deal of attention in the past decades, concerning local/global existence, finite time blow-up, critical exponents, and propagation of singularities. Solutions of lower regularity may exhibit unexpected (anomalous) propagation of singularities. The purpose of this paper is to present various striking examples that seemingly have not been addressed in the literature so far. The key issue is the interpretation of the nonlinear operations.
