Optimization Methods in Partial Differential Equations.

Intro -- Contents -- Preface -- Boundary observability and controllability of linear elastodynamic systems -- Riblets and drag minimization -- Min-max problems for non-potential operator equations -- An infinite dimensional time optimal control problem -- Dirichlet problem for nonlinear first order partial differential equations -- Hidden boundary smoothness for some classes of differential equations on submanifolds -- Convergence to the asymptotic model for linear thin shells -- Variational formulation of optimal damping designs -- Local exact boundary controllability of the Navier-Stokes system -- On uniqueness and stability in the Cauchy problem -- Augmented Lagrangian-SQP techniques and their approximations -- Recent progress and open problems in control of multi-link elastic structures -- Spatio-temporal control in the coefficients of linear hyperbolic equations -- Modified interior distance functions -- Optimal energy decay rate in a damped Rayleigh beam -- Approximate and exact formability of two-dimensional elastic structures -- Complete and incomplete actuator families -- Displacement derivatives in shape optimization of thin shells -- Carleman estimates, unique continuation and controllability for anizotropic PDE's -- Navier-Stokes equations in thin spherical domains -- The algebraic Riccati equation with unbounded control operator: The abstract hyperbolic case revisited -- One-parameter families of solutions to a class of PDE optimal control problems.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.