U.S.-Japan Cooperative Research: Linear and Non-Linear Scattering

9314992 Zworski该奖项支持约翰霍普金斯大学数学系Maciej Zworski教授与大阪大学数学系Mitsuru Ikawa教授为期两年的合作研究项目和联合研讨会。该项目侧重于散射理论和波传播的各个领域。它包括美国和日本研究人员对约翰霍普金斯大学的一系列长期和短期访问，并在双边研讨会上达到高潮。该项目是约翰霍普金斯大学日美数学研究所（JAMI）活动的一部分。在项目过程中，具有不同观点的美国和日本研究人员将聚集在一起讨论以下主题：各种设置中的共振，从n体散射到自同构形式的光谱理论；逆散射;非线性波动方程：长时间存在，激波的形成，有界解的正则性，非线性扰动下的稳定性。该项目也得到了美国国家科学基金会数学科学部几何分析项目的支持。＊＊＊

9314992 Zworski This award supports a two-year collaborative research project and joint seminar between Professor Maciej Zworski, Department of Mathematics, Johns Hopkins University, and Professor Mitsuru Ikawa, Department of Mathematics, Osaka University. The project focuses on various areas of scattering theory and wave propagation. It involves a series of long and short term visits by U.S. and Japanese researchers to Johns Hopkins University and culminates in a bilateral seminar. This project is part of the activities of the Japan- U.S. Mathematics Institute (JAMI) of the Johns Hopkins University. During the course of the project, U.S. and Japanese researchers with diverse perspectives will be brought together to discuss the following topics: resonances in various settings, ranging from N-body scattering to spectral theory of automorphic forms; inverse scattering; nonlinear wave equations: long time existence, formation of shocks, regularity of bounded solutions, stability under non-linear perturbation. The project is also being supported by the Geometric Analysis Program of the Division of Mathematical Sciences, NSF. ***