Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Approximation and Asymptotic Analysis

Authors:

ISBN: 978-0-8176-8148-7 (Print) 978-0-8176-8149-4 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages I-XVI

  2. No Access

    Book Chapter

    Pages 1-11

    Introduction

  3. Asymptotic Analysis of Optimal Control Problems for Partial Differential Equations: Basic Tools

    1. Front Matter

      Pages 13-13

    2. No Access

      Book Chapter

      Pages 15-61

      Background Material on Asymptotic Analysis of Extremal Problems

    3. No Access

      Book Chapter

      Pages 63-111

      Variational Methods of Optimal Control Theory

    4. No Access

      Book Chapter

      Pages 113-132

      Suboptimal and Approximate Solutions to Extremal Problems

    5. No Access

      Book Chapter

      Pages 133-159

      Introduction to the Asymptotic Analysis of Optimal Control Problems: A Parade of Examples

    6. No Access

      Book Chapter

      Pages 161-215

      Convergence Concepts in Variable Banach Spaces

    7. No Access

      Book Chapter

      Pages 217-261

      Convergence of Sets in Variable Spaces

    8. No Access

      Book Chapter

      Pages 263-307

      Passing to the Limit in Constrained Minimization Problems

  4. Optimal Control Problems on Periodic Reticulated Domains: Asymptotic Analysis and Approximate Solutions

    1. Front Matter

      Pages 309-309

    2. No Access

      Book Chapter

      Pages 311-355

      Suboptimal Control of Linear Steady-State Processes on Thin Periodic Structures with Mixed Boundary Controls

    3. No Access

      Book Chapter

      Pages 357-408

      Approximate Solutions of Optimal Control Problems for Ill-Posed Parabolic Problems on Thin Periodic Structures

    4. No Access

      Book Chapter

      Pages 409-440

      Asymptotic Analysis of Optimal Control Problems on Periodic Singular Graphs

    5. No Access

      Book Chapter

      Pages 441-476

      Suboptimal Boundary Control of Elliptic Equations in Domains with Small Holes

    6. No Access

      Book Chapter

      Pages 477-514

      Asymptotic Analysis of Elliptic Optimal Control Problems in Thick Multistructures with Dirichlet and Neumann Boundary Controls

    7. No Access

      Book Chapter

      Pages 515-546

      Gap Phenomenon in Modeling of Suboptimal Controls to Parabolic Optimal Control Problems in Thick Multistructures

    8. No Access

      Book Chapter

      Pages 547-583

      Boundary Velocity Suboptimal Control of Incompressible Flow in Cylindrically Perforated Domains

    9. No Access

      Book Chapter

      Pages 585-619

      Optimal Control Problems in Coefficients: Sensitivity Analysis and Approximation

  5. Back Matter

    Pages 621-636