U.S.-Austria Cooperative Research on Control and Inverse Problems in Partial Differential Equations

该奖项支持H教授。T.班克斯，K。Ito和C.王 南加州大学继续他们的 在应用数学研究与F教授合作。 格拉兹大学的卡佩尔等人和K.库尼施 奥地利格拉兹技术大学。 他们有共同的利益 在控制理论中， 偏微分方程中的参数 对给定过程的观察以及对 泛函偏微分方程 应用于控制和逆问题。 具体 他们将工作的主题包括建模和参数 大小/年龄结构人口模型中的估计技术， 粘弹性模型参数的可辨识性 系统，并制定一个近似框架， Banach空间中的非线性动力学。 这些美国和奥地利的数学家 在方法和应用的发展中处于领先地位， 各种各样的问题，在优化，近似和 泛函偏微分参数估计 方程 他们富有成效的合作已经产生了 在许多出版物中， 生理和生物问题。 拟议工作承诺 继续这一贡献， 与力学和人口相关的有趣问题 动力学

This award supports Professors H. T. Banks, K. Ito and C. Wang of the University of Southern California to continue their collaboration in applied mathematics research with Professor F. Kappel and others of the University of Graz and K. Kunisch of the Technical University of Graz, Austria. They share interests in control theory that focus on the problems of estimating parameters in partial differential equations from known observation of a given process and also the approximation of functional and partial differential equations stressing applications to control and inverse problems. The specific topics on which they will work include modeling and parameter estimation techniques in size/age structured population models, the identifiability of parameters in models of visco-elastic systems, and the development of an approximation framework for nonlinear dynamics in a Banach space setting. These U.S. and Austrian mathematicians have been among the leaders in the development of methods and applications in a wide variety of problems in optimization, approximation and parameter estimation for functional and partial differential equations. Their productive collaboration has already resulted in numerous publications containing applications to meaningful physical and biological problems. The proposed work promises to continue this contribution by focusing on technically interesting problems with relevance to mechanics and population dynamics.