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partial differential equation methods in control and shape analysis : lecture notes in pure and applied mathematics - Giuseppe Da Prato

partial differential equation methods in control and shape analysis

lecture notes in pure and applied mathematics

By: Giuseppe Da Prato (Editor), Jean-Paul Zolesio (Editor)

Paperback

Published: 20th February 1997
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This up-to-date resource - based on the International Federation 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 disciplines, Partial Differential Equation Methods in Control and Shape Analysis presents a shape variational formulation of a hydrodynamic free interface that appears behind a three dimensional lifting profile...introduces new asymptotic results on singular perturbations and ergodic optimal control problems for systems with spatial state constraints...derives the first order conditions for optimality in optimal control problems governed by quasilinear elliptic equations...calculates the shape gradients of mixed finite element functionals with respect to the domain...studies the existence of an optimal domain for energy shape minimization problems...offers a model for the physical system formed by an elastic shell and an incompressible fluid...and more.
Containing key bibliographic citations as well as enlightening illustrations, Partial Differential Equation Methods in Control and Shape Analysis is an excellent reference for mathematical analysts, pure and applied mathematicians, geometers, control and electrical and electronics engineers and scientists, physicists, computer scientists, and graduate students in these disciplines.

"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

Preface
Contributors
Shape Control of a Hydrodynamic Wakep. 1
On Some Inverse Geometrical Problemsp. 11
A Viscosity Solutions Approach to Some Asymptotic Problems in Optimal Controlp. 29
Homogenization and Continuous Dependence for Dirichlet Problems in L[superscript 1]p. 41
A Remark on Regularization of the Wave Equation with Boundary Inputp. 53
A Pontryagin's Principle for Boundary Control Problems of Quasilinear Elliptic Equationsp. 63
Computation of Shape Gradients for Mixed Finite Element Formulationp. 77
On a Geometrical Bang-Bang Principle for Some Compliance Problemsp. 95
Shape Derivative for the Laplace-Beltrami Equationp. 111
An Energy Principle for a Free Boundary Problem for Navier-Stokes Equationsp. 133
Dynamic Programming Techniques in the Approximation of Optimal Stopping Time Problems in Hilbert Spacesp. 153
Strong Solutions for Kolmogorov Equation in Hilbert Spacesp. 163
Sufficient Conditions for Dirichlet Boundary Control Problems of Parabolic Typep. 189
Shape Hessian for a Nondifferentiable Variational Free Boundary Problemp. 205
Carleman Estimates and Exact Boundary Controllability for a System of Coupled, Nonconservative Second-Order Hyperbolic Equationsp. 215
Static and Dynamic Behavior of a Fluid-Shell Systemp. 245
Inf-Sup Conditions for an Elliptic Operator in the Spaces [actual symbol not reproducible] Approximated with Lagrange Finite Elementp. 259
Numerical Method for Shape Identification Problemsp. 275
Partial Regularity of Weak Solutions to Certain Parabolic Equationsp. 285
Local Regularity Properties of the Minimum Time Functionp. 293
Some Remarks on the Detectability Condition for Stochastic Systemsp. 309
Suboptimal Shape of a Plate Stretched by Planar Forcesp. 321
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780824798376
ISBN-10: 0824798376
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 352
Published: 20th February 1997
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 26.04 x 18.42  x 1.91
Weight (kg): 0.61
Edition Number: 1