{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T21:14:53Z","timestamp":1771535693202,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,2,27]],"date-time":"2015-02-27T00:00:00Z","timestamp":1424995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1007\/s10957-015-0721-0","type":"journal-article","created":{"date-parts":[[2015,2,26]],"date-time":"2015-02-26T15:55:12Z","timestamp":1424966112000},"page":"294-307","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Game Control Problem for a Phase Field Equation"],"prefix":"10.1007","volume":"170","author":[{"given":"Vyacheslav","family":"Maksimov","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,27]]},"reference":[{"key":"721_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3716-7","volume-title":"Game-Theoretical Control Problems","author":"NN Krasovskii","year":"1988","unstructured":"Krasovskii, N.N., Subbotin, A.I.: Game-Theoretical Control Problems. Springer, Berlin (1988)"},{"issue":"4","key":"721_CR2","first-page":"1093","volume":"16","author":"YuS Osipov","year":"1975","unstructured":"Osipov, YuS: On the theory of differential games in systems with distributed parameters. Sov. Math. Dokl. 16(4), 1093\u20131097 (1975)","journal-title":"Sov. Math. Dokl."},{"key":"721_CR3","volume-title":"Feedback Minimax Control for Parabolic Variational Inequality","author":"V Maksimov","year":"2000","unstructured":"Maksimov, V.: Feedback Minimax Control for Parabolic Variational Inequality. C.R. Academy of Science, Paris, Serie IIb (2000)"},{"key":"721_CR4","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF00254827","volume":"92","author":"G Caginalp","year":"1986","unstructured":"Caginalp, G.: An analysis of a phase field model of a free boundary. Arch. Ration. Mech. Anal. 92, 205\u2013245 (1986)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"721_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4048-8","volume-title":"Hysteresis and Phase Transitions","author":"M Brokate","year":"1996","unstructured":"Brokate, M., Sprekels, J.: Hysteresis and Phase Transitions. Springer, New York (1996)"},{"issue":"2","key":"721_CR6","first-page":"177","volume":"28","author":"M Heinkenschloss","year":"1999","unstructured":"Heinkenschloss, M., Tr\u00f6ltzsch, F.: Analysis of the lagrange-SQP-newton method for the control of a phase field equation. Control. Cybern. 28(2), 177\u2013211 (1999)","journal-title":"Control. Cybern."},{"issue":"1\u20132","key":"721_CR7","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1080\/01630569208816458","volume":"13","author":"K-H Hoffman","year":"1992","unstructured":"Hoffman, K.-H., Jiang, L.S.: Optimal control problem of a phase field model for solidification. Numer. Funct. Anal. Optim. 13(1\u20132), 11\u201327 (1992)","journal-title":"Numer. Funct. Anal. Optim."},{"issue":"1","key":"721_CR8","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1007\/s10957-010-9742-x","volume":"148","author":"T Benincasa","year":"2011","unstructured":"Benincasa, T., Favini, A., Morosanu, C.: A product formula approach to a nonhomogeneous boundary optimal control problem governed by nonlinear phase-field transition systems. Part I: A phase-field model. J. Optim. Theory Appl. 148(1), 14\u201320 (2011)","journal-title":"J. Optim. Theory Appl."},{"key":"721_CR9","unstructured":"McMillan, C., Triggiani, R.: Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups: Part I: The stable case. Marcel Dekker Lecture Notes in Pure and Applied Mathematics. 152, 757\u2013780 (1994)"},{"key":"721_CR10","volume-title":"Control Theory for Partial Differential Equations: Continuous and Approximation Theories. Part I: Abstract Parabolic Systems","author":"I Lasiecka","year":"2000","unstructured":"Lasiecka, I., Triggiani, R.: Control Theory for Partial Differential Equations: Continuous and Approximation Theories. Part I: Abstract Parabolic Systems. Cambridge University Press, Cambridge (2000)"},{"key":"721_CR11","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1080\/00036811003735840","volume":"90","author":"BS Mordukhovich","year":"2011","unstructured":"Mordukhovich, B.S.: Optimal control and feedback design of state-constrained parabolic systems in uncertainty conditions. Appl. Anal. 90, 1075\u20131109 (2011)","journal-title":"Appl. Anal."},{"key":"721_CR12","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1016\/j.amc.2008.05.036","volume":"204","author":"BS Mordukhovich","year":"2008","unstructured":"Mordukhovich, B.S.: Suboptimal minimax design of constrained parabolic systems with mixed boundary control. Appl. Math. Comp. 204, 580\u2013588 (2008)","journal-title":"Appl. Math. Comp."},{"issue":"2","key":"721_CR13","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1023\/A:1021709004193","volume":"103","author":"V Maksimov","year":"1999","unstructured":"Maksimov, V., Pandolfi, L.: Dynamical reconstruction of inputs for contraction semigroup systems: Boundary input case. J. Optim. Theory Appl. 103(2), 401\u2013420 (1999)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"721_CR14","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.jmaa.2003.11.058","volume":"292","author":"A Favini","year":"2004","unstructured":"Favini, A., Maksimov, V., Pandolfi, L.: A deconvolution problem related to a singular system. J. Math. Anal. Appl. 292(1), 60\u201372 (2004)","journal-title":"J. Math. Anal. Appl."},{"issue":"3","key":"721_CR15","first-page":"377","volume":"69","author":"V Maksimov","year":"2004","unstructured":"Maksimov, V., Tr\u00f6ltzsch, F.: One inverse problem for phase field equations. Dokl. Math. 69(3), 377\u2013380 (2004)","journal-title":"Dokl. Math."},{"issue":"3\u20134","key":"721_CR16","first-page":"419","volume":"13","author":"V Maksimov","year":"2006","unstructured":"Maksimov, V., Tr\u00f6ltzsch, F.: Dynamical state and control reconstruction for a phase field model. Dynamics of continuous, discrete and impulsive systems. A: Mathematical analysis 13(3\u20134), 419\u2013444 (2006)","journal-title":"A: Mathematical analysis"},{"key":"721_CR17","volume-title":"Optimal Control of Nonlinear Parabolic Systems. Theory, Algorithms and Applications","author":"P Neittaanmaki","year":"1994","unstructured":"Neittaanmaki, P., Tiba, D.: Optimal Control of Nonlinear Parabolic Systems. Theory, Algorithms and Applications. Marcel Dekker, New York (1994)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-015-0721-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-015-0721-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-015-0721-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T09:58:42Z","timestamp":1559469522000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-015-0721-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,27]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,7]]}},"alternative-id":["721"],"URL":"https:\/\/doi.org\/10.1007\/s10957-015-0721-0","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,27]]}}}