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Article: Differential game with switching controls on Hilbert space
Title | Differential game with switching controls on Hilbert space |
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Authors | |
Issue Date | 1997 |
Citation | Journal Of The Australian Mathematical Society Series B-Applied Mathematics, 1997, v. 39 n. 2, p. 230-256 How to Cite? |
Abstract | We study differential game problems in which the players can select different maximal monotone operators for the governing evolution system. Setting up our problem on a real Hilbert space, we show that the Elliott-Kalton upper and lower value of the game are viscosity solution of some Hamilton-Jacobi-Isaacs equations. Uniqueness is obtained by assuming condition analogous to the classical Isaacs condition, and thus the existence of value of the game follows. © Australian Mathematical Society, 1997. |
Persistent Identifier | http://hdl.handle.net/10722/156168 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Yung, SP | en_US |
dc.date.accessioned | 2012-08-08T08:40:41Z | - |
dc.date.available | 2012-08-08T08:40:41Z | - |
dc.date.issued | 1997 | en_US |
dc.identifier.citation | Journal Of The Australian Mathematical Society Series B-Applied Mathematics, 1997, v. 39 n. 2, p. 230-256 | en_US |
dc.identifier.issn | 0334-2700 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156168 | - |
dc.description.abstract | We study differential game problems in which the players can select different maximal monotone operators for the governing evolution system. Setting up our problem on a real Hilbert space, we show that the Elliott-Kalton upper and lower value of the game are viscosity solution of some Hamilton-Jacobi-Isaacs equations. Uniqueness is obtained by assuming condition analogous to the classical Isaacs condition, and thus the existence of value of the game follows. © Australian Mathematical Society, 1997. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Journal of the Australian Mathematical Society Series B-Applied Mathematics | en_US |
dc.title | Differential game with switching controls on Hilbert space | en_US |
dc.type | Article | en_US |
dc.identifier.email | Yung, SP:spyung@hkucc.hku.hk | en_US |
dc.identifier.authority | Yung, SP=rp00838 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-33748506873 | en_US |
dc.identifier.hkuros | 36444 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33748506873&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 39 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 230 | en_US |
dc.identifier.epage | 256 | en_US |
dc.identifier.isi | WOS:A1997YE48800005 | - |
dc.identifier.scopusauthorid | Yung, SP=7006540951 | en_US |
dc.identifier.issnl | 0334-2700 | - |