Mathematical Sciences: Linear and Non-Linear Scattering

小行星9505530 拟议的研究在于光谱和散射理论的一般领域。更具体地说，提议者想要研究共振的分布和散射矩阵的几何性质。 本文研究了固体物理中的一类微分方程和凸形障碍物的散射现象。调查旨在奠定散射现象的数学基础，并考虑更复杂的散射问题，说散射有限体积双曲曲面。

9505530 Zworski The proposed research lies in the general area of spectral and scattering theory. More specifically, the proposer wants to investigate distribution of resonances and geometric properties of the scattering matrix. This research deals with a class of differential equations arising in solid state physics and scattering phenomena by convex obstacles. The investigator seeks to lay a mathematical foundation for scattering phenomena and to consider more sophisticated scattering problems, say scattering on finite volume hyperbolic surfaces.