Controllability of Partial Differential Equations Governed by Multiplicative Controls

The goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic a...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Khapalov, Alexander Y. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Σειρά:Lecture Notes in Mathematics, 1995
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Multiplicative Controllability of Parabolic Equations
  • Global Nonnegative Controllability of the 1-D Semilinear Parabolic Equation
  • Multiplicative Controllability of the Semilinear Parabolic Equation: A Qualitative Approach
  • The Case of the Reaction-Diffusion Term Satisfying Newton’s Law
  • Classical Controllability for the Semilinear Parabolic Equations with Superlinear Terms
  • Multiplicative Controllability of Hyperbolic Equations
  • Controllability Properties of a Vibrating String with Variable Axial Load and Damping Gain
  • Controllability Properties of a Vibrating String with Variable Axial Load Only
  • Reachability of Nonnegative Equilibrium States for the Semilinear Vibrating String
  • The 1-D Wave and Rod Equations Governed by Controls That Are Time-Dependent Only
  • Controllability for Swimming Phenomenon
  • A “Basic” 2-D Swimming Model
  • The Well-Posedness of a 2-D Swimming Model
  • Geometric Aspects of Controllability for a Swimming Phenomenon
  • Local Controllability for a Swimming Model
  • Global Controllability for a “Rowing” Swimming Model
  • Multiplicative Controllability Properties of the Schrodinger Equation
  • Multiplicative Controllability for the Schrödinger Equation.