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Carleman Estimates and Exact Boundary Controllability for a System of Coupled, Nonconservative Second-Order Hyperbolic Equations
| Content Provider | Scilit |
|---|---|
| Author | Lasiecka, Irena Triggiani, Roberto |
| Copyright Year | 1997 |
| Description | Then, estimate (2.1.10) holds true for r > 0 sufficiently large, with the boundary terms (BT)\z replaced by (£?T)|Sl i.e., evaluated only on Ei = [0, T] x IV G The proof of Theorem 2.1.2 will be given in Section 2.3. As a consequence of Theorem 2.1.2 and of a uniqueness theorem, we then obtain the desired "continuous observability inequality" for the homogeneous problem < (0, • ) = 0; t(0, • ) = Vi in H; (2.1.15b) ( VIL = 0 in (0, T] x T = E, (2.1.15c) where F is the first-order linear operator in (2.1.2). The reverse "trace regularity inequality" was proved in [L-L-T.l, [Li.l], [L-T,l] for any T > 0. Book Name: partial differential equation methods in control and shape analysis |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-16233-1&isbn=9780429176395&doi=10.1201/9781482273618-15&format=pdf |
| Ending Page | 260 |
| Page Count | 30 |
| Starting Page | 231 |
| DOI | 10.1201/9781482273618-15 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 1997-02-20 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Partial Differential Equation Methods in Control and Shape Analysis Automotive Engineering Mathematical Physics Boundary Theorem Li.l Holds Carleman Vil Nonconservative Replaced |
| Content Type | Text |
| Resource Type | Chapter |
