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Solvability Regularity and Optimal Control of Boundary Value Problems for PDEs

for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and;

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Elliptic and Parabolic Robin Problems on Lipschitz Domains

The author studies regularity of quasi-linear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He;

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Factorization of Boundary Value Problems Using the Invariant Embedding Method

the invariant embedding technique for boundary value problems Makes a link between control theory, boundary value problems and the;

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Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems

important aspect of stochastic control. It presents results for two-player differential games and mean-field optimal control problems in the context;

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Initial-Boundary Value Problems and the Navier-Stokes Equations

This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on;

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Adaptive Control of Hyperbolic PDEs

of hyperbolic PDEs, and to get an overview of problems that are still open for further research. Although stabilization of unstable systems by boundary;

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Boundary Control of PDEs

PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs. Boundary Control of PDEs is appropriate for courses in control;

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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization;

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Differential Equations

researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods;

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Advanced Mathematical Methods in Science and Engineering

boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing;

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Dynamics of Solid Structures

in structural mechanics Ritz method for initial-boundary value problems Variational and projection techniques with semi-discretization;

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Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions

issues - the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although;

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Lecture Notes On Regularity Theory For The Navier-stokes Equations

-posedness) of initial boundary value problems for the Navier-Stokes equations is in fact one of the seven Millennium problems stated by the Clay;

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Numerical Control: Part a: Volume 23

-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control;

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Input-to-State Stability for PDEs

, including-for PDEs that include non-local terms-backstepping control designs which result in non-local boundary conditions. Input-to-State Stability;

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Boundary Value Problems for Transonic Flow

airfoil design and active flow control by airfoil/wing shape modifications or suction/blowing through a perforated surface. Boundary Value;

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Mathematical Theory in Periodic Plane Elasticity

of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various;

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Elliptic Boundary Value Problems with Fractional Regularity Data

In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the;

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Fourier Series and Numerical Methods for Partial Differential Equations

for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs;

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Optimal Control Theory

and with certain constraints etc. It gives the necessary and sufficient condition for the (continuous-time) optimal control solution via the;

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Optimal Control Theory

and with certain constraints etc. It gives the necessary and sufficient condition for the (continuous-time) optimal control solution via the;

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Topological Optimization and Optimal Transport

boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies High-order topological;

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Perturbation Of The Boundary In Boundary-Value Problems Of P

Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears;

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Methods of Mathematical Physics

value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics;

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Optimal Shape Design for Elliptic Systems

: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject;

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Geometric Measure Theory and Free Boundary Problems

for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading;

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Beyond Sobolev and Besov

of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type;

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