Overview

These 22 papers on control of nonlinear partial differential equations highlight the area from a wide variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Full Product Details

Author:   W. Desch ,  etc.
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 118
ISBN:  

9783764350987

ISBN 10:   3764350989
Pages:   416
Publication Date:   September 1994
Audience:   Professional and scholarly ,  General/trade ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Stock Indefinitely
Availability:   Out of stock  

Table of Contents

A semigroup formulation of a nonlinear size-structured distributed rate population model, H.T. Banks, F. Kappel and C. Wang; damage detection and characterization in smart material structures, H.T. Banks and Y. Wang; optimality conditions for non-qualified parabolic control problems, M. Bergounioux, T. Maennikkoe and D. Tiba; convergence of trajectories for a controlled viscous Burgers' equation, C.I. Byrnes, D.S. Gilliam and V.I. Shubov; optimality conditions for boundary control problems of parabolic type, P. Cannarsa and M.E. Tessitore; Pontryagin's principle for optimal control problems governed by semilinear elliptic equations, E. Casas; invariance of the Hamiltonian in control problems for semi-linear parabolic distributed parameter systems, H.O. Fattorini; rate distribution modeling for structured heterogeneous populations, B.G. Fitzpatrick; a model for a two-layered plate with interfacial slip, S.W. Hansen; numerical solution of a constrained control problem for a phase field model, M. Heinkenschloss and E.W. Sachs; uniform stabilizability of nonlinearly coupled Kirchhoff plate equations, M.A. Horn and I. Lasiecka; boundary temperature control for thermally coupled Navier-Stokes equations, K. Ito; adaptive estimation of nonlinear distributed parameter systems, J. Kazimir and I.G. Rosen; decay estimates for the wave equation with internal clamping, V. Komornik; on the controllability of the rotation of a flexible arm, W. Krabs; modelling and controllability of interconnected elastic membranes, J.E. Lagnese; on feedback controls for dynamic networks of strings and beams and their numerical simulation, G. Leugering; various relaxations in optimal control of distributed parameter systems, T. Roubicek; convergence of an SQP-method for a class of nonlinear parabolic boundary control problems, F. Troltzsch; conditional stability in determination of densities of heat sources in a bounded domain, M. Yamamoto; boundary stabilisation of the Korteweg-de Vries equation, B.-Y. Zhang; controllability of the linear system of thermoelasticity - Dirichlet-Neumann boundary conditions, E. Zuazua.

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