Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations
| Data(s) |
01/01/2014
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|---|---|
| Resumo |
An operator Riccati equation from systems theory is considered in the case that all entries of the associated Hamiltonian are unbounded. Using a certain dichotomy property of the Hamiltonian and its symmetry with respect to two different indefinite inner products, we prove the existence of nonnegative and nonpositive solutions of the Riccati equation. Moreover, conditions for the boundedness and uniqueness of these solutions are established. |
| Formato |
application/pdf |
| Identificador |
http://boris.unibe.ch/66709/1/art%253A10.1007%252Fs00028-013-0210-6.pdf Tretter, Christiane; Wyss, Christian (2014). Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Journal of evolution equations, 14(1), pp. 121-153. Birkhäuser 10.1007/s00028-013-0210-6 <http://dx.doi.org/10.1007/s00028-013-0210-6> doi:10.7892/boris.66709 info:doi:10.1007/s00028-013-0210-6 urn:issn:1424-3199 |
| Idioma(s) |
eng |
| Publicador |
Birkhäuser |
| Relação |
http://boris.unibe.ch/66709/ |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Tretter, Christiane; Wyss, Christian (2014). Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Journal of evolution equations, 14(1), pp. 121-153. Birkhäuser 10.1007/s00028-013-0210-6 <http://dx.doi.org/10.1007/s00028-013-0210-6> |
| Palavras-Chave | #510 Mathematics |
| Tipo |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed |
