Boundary Synchronization for Hyperbolic Systems

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Author(s):	Li, Tatsien
ISBN No.:	9783030328481
Pages:	x, 333
Year:	201912
Format:	Trade Cloth (Hard Cover)
Price:	$ 179.39
Dispatch delay:	Dispatched between 7 to 15 days
Status:	Available

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Introduction and Overview.- Preliminaries.- Part 1: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Exact Boundary Synchronization.- Exact boundary controllability and non-exact boundary controllability.- Exact boundary synchronization and non-exact boundary synchronization.- Exactly synchronizable states.- Exact boundary synchronization by groups.- Exactly synchronizable states by p-groups.

- Part 2: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Approximate Boundary Synchronization.- Approximate boundary synchronization.- Approximate boundary synchronization by p-groups.- Induced approximate boundary synchronization.- Part 3: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Exact Boundary Synchronization.- Exact boundary controllability and non-exact boundary controllability.- Exact boundary synchronization and non-exactly boundary synchronization.- Exact boundary synchronization by p-groups.

- Determination of exactly synchronizable states by p-groups.- Part 4: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Approximate Boundary Synchronization.- Approximate boundary null controllability.- Approximate boundary synchronization.- Approximate Boundary Synchronization by p-groups.- Part 5: Synchronization for a Coupled System of Wave Equations with Coupled Robin Boundary Controls: Exact Boundary Synchronization.- Preliminaries on problem (III) and (III0).- Exact boundary controllability and non-exact boundary controllability.

- Exact boundary synchronization.- Determination of exactly synchronizable states.- Exact boundary synchronization by p-groups.- Necessity of the conditions of Cp-compatibility.- Determination of exactly synchronizable states by p-groups.- Part 6. Synchronization for a Coupled System of Wave Equations with Coupled Boundary Controls: Approximate Boundary Synchronization.- Some algebraic lemmas.

- Approximate boundary null controllability.- Unique continuation for Robin problem.- Approximate boundary synchronization.- Approximate boundary synchronization by p-groups.- Approximately synchronizable states by p-groups.- Closing remarks.

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