Contemporary Mathematics 2000; 406 pp; softcover Volume: 268 ISBN10: 0821819275 ISBN13: 9780821819272 List Price: US$91 Member Price: US$72.80 Order Code: CONM/268
 This volume contains selected papers that were presented at the AMSIMSSIAM Joint Summer Research Conference on "Differential Geometric Methods in the Control of Partial Differential Equations", which was held at the University of Colorado in Boulder in June 1999. The aim of the conference was to explore the infusion of differentialgeometric methods into the analysis of control theory of partial differential equations, particularly in the challenging case of variable coefficients, where the physical characteristics of the medium vary from point to point. While a mutually profitable link has been long established, for at least 30 years, between differential geometry and control of ordinary differential equations, a comparable relationship between differential geometry and control of partial differential equations (PDEs) is a new and promising topic. Very recent research, just prior to the Colorado conference, supported the expectation that differential geometric methods, when brought to bear on classes of PDE modelling and control problems with variable coefficients, will yield significant mathematical advances. The papers included in this volumewritten by specialists in PDEs and control of PDEs as well as by geometerscollectively support the claim that the aims of the conference are being fulfilled. In particular, they endorse the belief that both subjectsdifferential geometry and control of PDEshave much to gain by closer interaction with one another. Consequently, further research activities in this area are bound to grow. Readership Graduate students and research mathematicians interested in differential geometry. Table of Contents  G. Avalos  Wellposedness of a structural acoustics model with point control
 J. Cagnol and J.P. Zolésio  Intrinsic geometric model for the vibration of a constrained shell
 M. Camurdan and G. Ji  A noise reduction problem arising in structural acoustics: A threedimensional solution
 S. Chanillo, D. Grieser, and K. Kurata  The free boundary problem in the optimization of composite membranes
 M. C. Delfour  Tangential differential calculus and functional analysis on a \(C^{1,1}\) submanifold
 M. M. Eller and V. Isakov  Carleman estimates with two large parameters and applications
 J. F. Escobar  On the prescribed Scalar curvature problem on compact manifolds with boundary
 R. Gulliver and W. Littman  Chord uniqueness and controllability: The view from the boundary, I
 M. A. Horn  Nonlinear boundary stabilization of a system of anisotropic elasticity with light internal damping
 V. Isakov and M. Yamamoto  Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems
 I. Lasiecka, R. Triggiani, and X. Zhang  Nonconservative wave equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot
 C. Lebiedzik  Uniform stability of a coupled structural acoustic system with thermoelastic effects and weak structural damping
 T. Lewiński and J. Sokołowski  Topological derivative for nucleation of noncircular voids. The Neumann problem
 W. Littman  Remarks on global uniqueness theorems for partial differential equations
 Z. Slodkowski and G. Tomassini  Evolution of a graph by Levi form
 P.F. Yao  Observability inequalities for the EulerBernoulli plate with variable coefficients
