Volume 1995 2010

Controllability of Partial Differential Equations Governed by Multiplicative Controls

Authors:

ISBN: 978-3-642-12412-9 (Print) 978-3-642-12413-6 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xv

  2. No Access

    Book Chapter

    Pages 1-12

    Introduction

  3. Multiplicative Controllability of Parabolic Equations

    1. Front Matter

      Pages 14-14

    2. No Access

      Book Chapter

      Pages 15-31

      Global Nonnegative Controllability of the 1-D Semilinear Parabolic Equation

    3. No Access

      Book Chapter

      Pages 33-48

      Multiplicative Controllability of the Semilinear Parabolic Equation: A Qualitative Approach

    4. No Access

      Book Chapter

      Pages 49-65

      The Case of the Reaction-Diffusion Term Satisfying Newton’s Law

    5. No Access

      Book Chapter

      Pages 67-80

      Classical Controllability for the Semilinear Parabolic Equations with Superlinear Terms

  4. Multiplicative Controllability of Hyperbolic Equations

    1. Front Matter

      Pages 82-82

    2. No Access

      Book Chapter

      Pages 83-104

      Controllability Properties of a Vibrating String with Variable Axial Load and Damping Gain

    3. No Access

      Book Chapter

      Pages 105-119

      Controllability Properties of a Vibrating String with Variable Axial Load Only

    4. No Access

      Book Chapter

      Pages 121-145

      Reachability of Nonnegative Equilibrium States for the Semilinear Vibrating String

    5. No Access

      Book Chapter

      Pages 147-156

      The 1-D Wave and Rod Equations Governed by Controls That Are Time-Dependent Only

  5. Controllability for Swimming Phenomenon

    1. Front Matter

      Pages 158-158

    2. No Access

      Book Chapter

      Pages 159-164

      Introduction

    3. No Access

      Book Chapter

      Pages 165-170

      A “Basic” 2-D Swimming Model

    4. No Access

      Book Chapter

      Pages 171-193

      The Well-Posedness of a 2-D Swimming Model

    5. No Access

      Book Chapter

      Pages 195-217

      Geometric Aspects of Controllability for a Swimming Phenomenon

    6. No Access

      Book Chapter

      Pages 219-236

      Local Controllability for a Swimming Model

    7. No Access

      Book Chapter

      Pages 237-262

      Global Controllability for a “Rowing” Swimming Model

  6. Multiplicative Controllability Properties of the Schrodinger Equation

    1. Front Matter

      Pages 264-264

    2. No Access

      Book Chapter

      Pages 265-274

      Multiplicative Controllability for the Schrödinger Equation

  7. Back Matter

    Pages 275-290