论文标题
多维双曲方程中的反问题,具有迅速振荡的绝对项
Inverse problems in the multidimensional hyperbolic equation with rapidly oscillating absolute term
论文作者
论文摘要
该论文致力于发展的发展理论,用于进化方程,术语迅速振荡。对于仅在解决方案的渐近学的几个第一项中,而在整个解决方案上施加的几个第一项,就为设定此类问题的新方法开发了这种问题。在具有未知绝对项的多维双曲方程的情况下,这种方法实现了。
The paper is devoted to the development of the theory of inverse problems for evolution equations with terms rapidly oscillating in time. A new approach to setting such problems is developed for the case in which additional constraints are imposed only on several first terms of the asymptotics of the solution rather that on the whole solution. This approach is realized in the case of a multidimensional hyperbolic equation with unknown absolute term.