partial differential equation methods in control and shape analysis : lecture notes in pure and applied mathematics book cover
1st Edition

partial differential equation methods in control and shape analysis
lecture notes in pure and applied mathematics

ISBN 9780824798376
Published February 20, 1997 by CRC Press
352 Pages

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Book Description

"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."

Table of Contents

Shape control of a hydrodynamic wake; on some inverse geometrical problems; a viscosity solutions approach to some asymptotic problems in optimal control; homogenization and continuous dependence for Dirichlet problems in L'; a remark on regularization of the wave equation with boundary input; a Pontryagin's principle for boundary control problems of quasilinear elliptic equations; computation of shape gradients for mixed finite element formulation; on a geometrical Bang-Bang principle for some compliance problems; shape derivative for the Laplace-Beltrami equation; an energetic principle for a free boundary problem for Navier-Stokes equations; dynamic programming techniques in the approximation of optical stoping time problems in Hilbert spaces; strong solutions for Kolmogorov equation in Hilbert spaces; sufficient conditions for Dirichlet boundary control problems of parabolic type; shape Hessian for a nondifferentiable variational free boundary problem; Carleman estimates and exact boundary controllability for a system of Couped, nonconservative second-order hyperbolic equations; static and dynamic behaviour of a fluid-shell system; numerical method for shape identification problems; partial regularity of weak solutions to certain parabolic equations; local regularity properties of the minimum time function; some remarks on the detectability conditions for stochastic systems; suboptimal shape of a plate stretched by planar forces.

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"The papers present the latest developments and major advances in the fields of active and passive control for systems governed by partial differential equations-in particular in shape analysis and optimal shape design. … The authors of the articles are well known for important results in this field of research."
- Studia Universitatis Babes-Bolyai Series Mathematica, Vol. XLVIII, No. 1, 2003