{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T13:38:39Z","timestamp":1648647519161},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1997,12,1]],"date-time":"1997-12-01T00:00:00Z","timestamp":880934400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annali di Matematica pura ed applicata"],"published-print":{"date-parts":[[1997,12]]},"DOI":"10.1007\/bf01782611","type":"journal-article","created":{"date-parts":[[2005,6,27]],"date-time":"2005-06-27T21:55:46Z","timestamp":1119909346000},"page":"165-189","source":"Crossref","is-referenced-by-count":1,"title":["Regular solutions of a Stefan problem in strips"],"prefix":"10.1007","volume":"172","author":[{"given":"Jos\u00e9 Francisco","family":"Rodrigues","sequence":"first","affiliation":[]},{"given":"Boris","family":"Zaltzman","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01782611_CR1","first-page":"89","volume":"305","author":"A. W. Alt","year":"1979","unstructured":"Alt A. W.,Stromunghen durch inhomogene por\u00f6se Medien mit Rand, J. Reine Ang. Math.,305 (1979), pp. 89\u2013115.","journal-title":"J. Reine Ang. Math."},{"key":"BF01782611_CR2","doi-asserted-by":"crossref","first-page":"413","DOI":"10.2307\/2118531","volume":"143","author":"I. Athanasopoulos","year":"1996","unstructured":"Athanasopoulos I. -Caffarelli L. -Salsa S.,Caloric functions in Lipschitz domains and regularity of solutions of phase transition problems, Ann. Math.,143 (1996), pp. 413\u2013434.","journal-title":"Ann. Math."},{"key":"BF01782611_CR3","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/BF02551583","volume":"176","author":"I. Athanasopoulos","year":"1996","unstructured":"Athanasopoulos I. -Caffarelli L. -Salsa S.,Regularity of the free boundary in parabolic phase transition problems, Acta Math.,176 (1996), 245\u2013282.","journal-title":"Acta Math."},{"key":"BF01782611_CR4","doi-asserted-by":"crossref","first-page":"632","DOI":"10.1137\/0511058","volume":"11","author":"J. R. Cannon","year":"1980","unstructured":"Cannon J. R. -DiBenedetto E.,On the existence of weak solutions to an n-dimensional Sefan problem with non-linear boundary conditions, SIAM J. Math. Anal.,11 (1980), pp. 632\u2013645.","journal-title":"SIAM J. Math. Anal."},{"key":"BF01782611_CR5","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1080\/03605307708820053","volume":"2","author":"A. Damlamian","year":"1977","unstructured":"Damlamian A.,Some results on multi-phase Stefan problem, Comm. P.D.E.,2 (1977), pp. 1017\u20131044.","journal-title":"Comm. P.D.E."},{"issue":"5","key":"BF01782611_CR6","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1070\/RM1985v040n05ABEH003684","volume":"40","author":"I. I. Danilyuk","year":"1985","unstructured":"Danilyuk I. I.,On the Stefan problem, Russian Math. Surverys,40 (5) (1985), pp. 157\u2013223.","journal-title":"Russian Math. Surverys"},{"key":"BF01782611_CR7","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/BF01761493","volume":"130","author":"E. DiBenedetto","year":"1982","unstructured":"DiBenedetto E.,Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., (IV),130 (1982), pp. 131\u2013176.","journal-title":"Ann. Mat. Pura Appl., (IV)"},{"key":"BF01782611_CR8","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1080\/03605308608820466","volume":"11","author":"E. DiBenedetto","year":"1986","unstructured":"DiBenedetto E. -Friedman A.,Periodic behaviour for the evolutionary dam problem and related free boundary problems, Comm. P.D.E.,11 (1986), pp. 1297\u20131377.","journal-title":"Comm. P.D.E."},{"key":"BF01782611_CR9","volume-title":"Variational Principles and Free Boundary Problems","author":"A. Friedman","year":"1982","unstructured":"Friedman A.,Variational Principles and Free Boundary Problems, Wiley, New York (1982)."},{"key":"BF01782611_CR10","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1090\/qam\/1134749","volume":"49","author":"I. G. G\u00f6tz","year":"1991","unstructured":"G\u00f6tz I. G. -Zaltzman B. B.,Nonincrease of mushy region in a nonhomogeneous Stefan problem, Quart. Appl. Math.,49 (1991), pp. 741\u2013746.","journal-title":"Quart. Appl. Math."},{"key":"BF01782611_CR11","volume-title":"Contr\u00f4le des syst\u00e8mes distribu\u00e9s singuliers","author":"J. L. Lions","year":"1983","unstructured":"Lions J. L.,Contr\u00f4le des syst\u00e8mes distribu\u00e9s singuliers, Gauthier-Villars, Paris (1983)."},{"key":"BF01782611_CR12","unstructured":"Ladyzenskaya O. A. -Solonnikov V. A. -Ural'seva N. N.,Linear and Quasilinear quations of Parabolic Type, A.M.S. Transl. Monog.,23 (1968), Providence."},{"key":"BF01782611_CR13","first-page":"65","volume":"36","author":"E. Magenes","year":"1983","unstructured":"Magenes E.,Problema di Stefan Bifase in pi\u00f9 Variabili Spaziali, Le Matematiche (Catania),36 (1983), pp. 65\u2013108.","journal-title":"Le Matematiche (Catania)"},{"key":"BF01782611_CR14","volume-title":"The Stefan Problem","author":"A. M. Meirmanov","year":"1986","unstructured":"Meirmanov A. M.,The Stefan Problem, Nauka, Novosibirk (1986) (English transi, W. de Gruyter, Berlin (1992))."},{"key":"BF01782611_CR15","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1080\/03605308708820483","volume":"12","author":"R. H. Nochetto","year":"1987","unstructured":"Nochetto R. H.,A class of non-degenerate two-phase Stefan problems in several space variables, Comm. P.D.E.,12 (1987), pp. 21\u201345.","journal-title":"Comm. P.D.E."},{"key":"BF01782611_CR16","first-page":"129","volume-title":"Int. Ser. Numer. Math.,88","author":"J. F. Rodrigues","year":"1989","unstructured":"Rodrigues J. F.,The Stefan problem revisited, Int. Ser. Numer. Math.,88 (1989), pp. 129\u2013190, Birkh\u00e4user, Basel."},{"key":"BF01782611_CR17","first-page":"229","volume-title":"Int. Ser. Numer. Math.,95","author":"J. F. Rodrigues","year":"1990","unstructured":"Rodrigues J. F.,On a steady-state two-phase Stefan problem with extraction, Int. Ser. Numer. Math.,95 (1990), pp. 229\u2013240, Birkh\u00e4user, Basel."},{"key":"BF01782611_CR18","first-page":"143","volume":"28","author":"J. F. Rodrigues","year":"1993","unstructured":"Rodrigues J. F.,Stability of the free boundary in a two-phase continuous casting Stefan problem, Pitman Res. Notes, Math. Ser.,28 (1993), pp. 143\u2013148 (see also Preprint #13, CMAF\/Univ. Lisbon (1990)).","journal-title":"Pitman Res. Notes, Math. Ser."},{"key":"BF01782611_CR19","doi-asserted-by":"crossref","first-page":"1784","DOI":"10.1137\/0518126","volume":"18","author":"J. Rulla","year":"1987","unstructured":"Rulla J.,Weak solutions to Stefan problems with prescribed convection, SIAM J. Math. Anal.,18 (1987), pp. 1784\u20131800.","journal-title":"SIAM J. Math. Anal."},{"key":"BF01782611_CR20","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1017\/S0956792500000218","volume":"1","author":"J. F. Rodrigues","year":"1990","unstructured":"Rodrigues J. F. -Yi F.,On a two-phase continuous casting Stefan problem with nonlinear flux, European J. Appl. Math.,1 (1990), pp. 259\u2013279.","journal-title":"European J. Appl. Math."},{"key":"BF01782611_CR21","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0362-546X(92)90139-6","volume":"19","author":"J. F. Rodrigues","year":"1992","unstructured":"Rodrigues J. F. -Zaltzman B.,On classical solutions of the two-phase steady-state Stefan problem in strips, Non-linear Anal. Th. Meth. Appl.,19 (1992), pp. 207\u2013218.","journal-title":"Non-linear Anal. Th. Meth. Appl."},{"key":"BF01782611_CR22","first-page":"186","volume":"323","author":"J. F. Rodrigues","year":"1995","unstructured":"Rodrigues J. F. -Zaltzman B.,Free boundary optimal control in the multidimensional Stefan problem, Pitman Lect. Notes Math. Series,323 (1995), pp. 186\u2013194.","journal-title":"Pitman Lect. Notes Math. Series"},{"key":"BF01782611_CR23","first-page":"63","volume":"18-C","author":"A. Visintin","year":"1981","unstructured":"Visintin A.,Sur le probl\u00e8me de Stefan avec flux non lin\u00e9aire, Boll. Un. Mat. Ital.,18-C (1981), pp. 63\u201386.","journal-title":"Boll. Un. Mat. Ital."},{"key":"BF01782611_CR24","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/BF02599314","volume":"78","author":"B. Zaltzman","year":"1993","unstructured":"Zaltzman B.,Multidimensional two-phase quasistationary Stefan problem, Manuscripta Math.,78 (1993), pp. 287\u2013381 (see also Ph.D. Thesis, Novosibirsk Univ. (1989)).","journal-title":"Manuscripta Math."}],"container-title":["Annali di Matematica Pura ed Applicata"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01782611.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01782611\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01782611","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01782611.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:51:43Z","timestamp":1578639103000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01782611"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,12]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1997,12]]}},"alternative-id":["BF01782611"],"URL":"https:\/\/doi.org\/10.1007\/bf01782611","relation":{},"ISSN":["0373-3114","1618-1891"],"issn-type":[{"value":"0373-3114","type":"print"},{"value":"1618-1891","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,12]]}}}