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

Author:   Giuseppe Da Prato ,  Jean-Paul Zolesio
Publisher:   Taylor & Francis Ltd
ISBN:  

9781138413238


Pages:   348
Publication Date:   02 August 2017
Format:   Hardback
Availability:   In Print   Availability explained
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partial differential equation methods in control and shape analysis: lecture notes in pure and applied mathematics


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Author:   Giuseppe Da Prato ,  Jean-Paul Zolesio
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9781138413238


ISBN 10:   1138413232
Pages:   348
Publication Date:   02 August 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

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


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Giuseppe Da Prato, Jean-Paul Zolesio

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