{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T22:02:58Z","timestamp":1748642578329},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,7,26]],"date-time":"2007-07-26T00:00:00Z","timestamp":1185408000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s10898-007-9197-2","type":"journal-article","created":{"date-parts":[[2007,7,25]],"date-time":"2007-07-25T14:17:12Z","timestamp":1185373032000},"page":"277-288","source":"Crossref","is-referenced-by-count":2,"title":["On the interior regularity of weak solutions to the non-stationary Stokes system"],"prefix":"10.1007","volume":"40","author":[{"given":"Joachim","family":"Naumann","sequence":"first","affiliation":[]},{"given":"J\u00f6rg","family":"Wolf","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,7,26]]},"reference":[{"key":"9197_CR1","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF02414377","volume":"69","author":"S. Campanato","year":"1965","unstructured":"Campanato S. (1965). Equazioni paraboliche del secondo ordine e spazi $${\\mathcal{L}}^{2,\\,\\theta}(\\Omega , \\delta)$$ . Ann. Mat. Pura Appl. 69: 321\u2013380","journal-title":"Ann. Mat. Pura Appl."},{"key":"9197_CR2","first-page":"59","volume":"64","author":"S. Campanato","year":"1981","unstructured":"Campanato S. (1981). Partial H\u00f6lder continuity of solutions of quasilinear parabolic systems of second order with linear growth. Rend. Sem. Mat. Univ. Padova 64: 59\u201375","journal-title":"Rend. Sem. Mat. Univ. Padova"},{"issue":"4","key":"9197_CR3","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/BF02414378","volume":"69","author":"G. Da Prato","year":"1965","unstructured":"Da Prato G. (1965). Spazi $${\\mathcal{L}}^{2, \\theta} (\\Omega, \\delta)$$ e loro propriet\u00e0. Ann. Mat. Pura Appl. 69(4): 383\u2013392","journal-title":"Ann. Mat. Pura Appl."},{"key":"9197_CR4","unstructured":"Koch, H., Solonnikov, V.\u00a0A.: L p -estimates for a solution to the nonstationary Stokes equations. Problemy Mat. Anal. 22, 197\u2013239 (2001). Engl. Transl.: J. Math. Sci. 106(3), 3042\u20133072 (2001)"},{"key":"9197_CR5","unstructured":"Koch, H., Solonnikov, V.\u00a0A.: L p -estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. In: Nonlin. Problems in Math. Physics and Related Topics, vol. I. In Honor of Prof. O.\u00a0A. Ladyzhenskaya. Ed. M.sh. Birman et\u00a0al. Intern. Math. Series vol. 1. Kluwer Academic Plenum Publishers, New York (2002) pp. 203\u2013218"},{"key":"9197_CR6","unstructured":"Ladyzenskaya, O.A.: Mathematical problems of the dynamics of viscous incompressible fluids (Russian). Izdat. Nauka, Moskva 1961, 1970. German Transl.: Funktionalanalytische Untersuchungen der Navier-Stokes Gleichungen. Akad.-Verlag, Berlin (1965). Engl. Transl.: The Mathematical theory of Viscous Incompressible flow. Gordon and Breach, New York (1969)"},{"key":"9197_CR7","unstructured":"Naumann, J., Wolff, M.: Interior integral estimates on weak solutions of nonlinear parabolic systems. Preprint nr. 94\u201312, Fachber. Mathematik, Humboldt-Univ. Berlin (1994)"},{"key":"9197_CR8","doi-asserted-by":"crossref","first-page":"273","DOI":"10.3792\/pja\/1195524029","volume":"36","author":"T. Ohyama","year":"1960","unstructured":"Ohyama T. (1960). Interior regularity of weak solutions of the time dependent Navier-Stokes equation. Proc. Japan Acad 36: 273\u2013277","journal-title":"Proc. Japan Acad"},{"key":"9197_CR9","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF00253344","volume":"9","author":"J. Serrin","year":"1962","unstructured":"Serrin J. (1962). On the interior regularity of weak solutions of the Navier-Stokes equations. Arch. Rat. Mech. Anal 9: 187\u2013195","journal-title":"Arch. Rat. Mech. Anal"},{"key":"9197_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-0551-3","volume-title":"The Navier-Stokes equations. An elementary functional analytic approach","author":"H. Sohr","year":"2001","unstructured":"Sohr H. (2001). The Navier-Stokes equations. An elementary functional analytic approach. Birkh\u00e4user, Basel"},{"key":"9197_CR11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF02567922","volume":"69","author":"S. Takahashi","year":"1990","unstructured":"Takahashi S. (1990). On interior regularity criteria for weak solutions of the Navier-Stokes equations. Manuscripta Math 69: 237\u2013254","journal-title":"Manuscripta Math"},{"key":"9197_CR12","volume-title":"Navier-Stokes equations","author":"R. Temam","year":"1977","unstructured":"Temam R. (1977). Navier-Stokes equations. North-Holland, Amsterdam"},{"key":"9197_CR13","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1007\/s00021-006-0219-5","volume":"9","author":"J. Wolf","year":"2007","unstructured":"Wolf J. (2007). Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity. J. Math. Fluid Mech 9: 104\u2013138","journal-title":"J. Math. Fluid Mech"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9197-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-007-9197-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9197-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,13]],"date-time":"2023-05-13T14:41:11Z","timestamp":1683988871000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-007-9197-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,26]]},"references-count":13,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9197"],"URL":"https:\/\/doi.org\/10.1007\/s10898-007-9197-2","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,26]]}}}