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Book sections
Controllability of partial differential equations
Abstract : This is the notes of a FAP 2005 course (for CTS PhD and posdoc students, and for researchers) about controllability of partial differential equations, with the following items:
# m-dissipative operators in a Hilbert space.
# Semi-group theory in a Banach space.
# Theorems of Hille-Yosida and Lumer-Phillips.
# Stability. Main types of solutions.
# Examples: heat equation, wave equation.
# Nonlinear parabolic problems.
# Controllability and observability of linear evolution problems.
# HUM theory.
# Riccati equation in infinite dimension.
# Controllability of the heat and wave equations.
# Other examples.
# m-dissipative operators in a Hilbert space.
# Semi-group theory in a Banach space.
# Theorems of Hille-Yosida and Lumer-Phillips.
# Stability. Main types of solutions.
# Examples: heat equation, wave equation.
# Nonlinear parabolic problems.
# Controllability and observability of linear evolution problems.
# HUM theory.
# Riccati equation in infinite dimension.
# Controllability of the heat and wave equations.
# Other examples.
Cited literature [38 references]
https://hal.archives-ouvertes.fr/hal-00086402
Contributor : Emmanuel Trélat <>
Submitted on : Wednesday, July 19, 2006 - 1:36:01 PM
Last modification on : Wednesday, September 16, 2020 - 4:44:09 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 12:15:38 AM
Contributor : Emmanuel Trélat <>
Submitted on : Wednesday, July 19, 2006 - 1:36:01 PM
Last modification on : Wednesday, September 16, 2020 - 4:44:09 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 12:15:38 AM