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Proceedings of the American Mathematical Society
Volumn 135, Issue 8, 2007, Pages 2497-2504
On the regularity of the Neumann problem for free surfaces with surface tension
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EID: 74949107065     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08776-X     Document Type: Article
Times cited : (8)
References (10)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions: I
    • MR0125307 23:A2610
    • S. Agmon, A. Douglis, & L. Nirenberg. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions: I. Comm. Pure Appl. Math. 12 (1959), 623-727. MR0125307 (23:A2610)
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0000166670 scopus 로고
    • On the stokes conjecture for the wave of extreme form
    • MR0666110 83m:35147
    • C. J. Amick, L. E. Fraenkel, & J. F. Toland. On the Stokes conjecture for the wave of extreme form. Acta Matematica 148 (1982), 193-214. MR0666110 (83m:35147)
    • (1982) Acta Matematica , vol.148 , pp. 193-214
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 3
    • 77950657675 scopus 로고    scopus 로고
    • Sur la régularité des ondes progressives à la surface de l'eau
    • Exp. No. IV, Univ. Nantes, Nantes, MR2050590 2004m:35209
    • W. Craig & A.-M. Matei. Sur la régularité des ondes progressives à la surface de l'eau. Journées Equations aux Dérivées Partielles, Exp. No. IV, 9 pp., Univ. Nantes, Nantes, 2003. MR2050590 (2004m:35209)
    • (2003) Journées Equations aux Dérivées Partielles , pp. 9
    • Craig, W.1    Matei, A.-M.2
  • 6
    • 51249181060 scopus 로고
    • Regularity in elliptic free boundary problems I
    • MR0531272 83d:35060
    • D. Kinderlehrer, D. L. Nirenberg & J. Spruck. Regularity in elliptic free boundary problems I. Journal d'Analyse Math. 34 (1978), 86-119. MR0531272 (83d:35060)
    • (1978) Journal D'Analyse Math. , vol.34 , pp. 86-119
    • Kinderlehrer, D.1    Nirenberg, D.L.2    Spruck, J.3
  • 7
    • 0037567794 scopus 로고
    • Regularity in elliptic free boundary problems II: Equations of higher order
    • MR0563338 83d:35061
    • D. Kinderlehrer, L. Nirenberg & J. Spruck. Regularity in elliptic free boundary problems II: Equations of higher order. Ann. Scuola. Norm. Sup. Pisa, Ser IV VI (1979), 637-683. MR0563338 (83d:35061)
    • (1979) Ann. Scuola. Norm. Sup. Pisa, Ser IV , vol.6 , pp. 637-683
    • Kinderlehrer, D.1    Nirenberg, L.2    Spruck, J.3
  • 8
    • 84968518387 scopus 로고
    • A note on harmonic functions and a hydrodynamical application
    • MR0049399 14:168c
    • H. Lewy. A note on harmonic functions and a hydrodynamical application. Proc. AMS 3 (1952), 111-113. MR0049399 (14:168c)
    • (1952) Proc. AMS , vol.3 , pp. 111-113
    • Lewy, H.1
  • 9
    • 0038729498 scopus 로고    scopus 로고
    • The Neumann problem for free boundaries in two dimensions
    • MR1941301 2003i:35286
    • A.-M. Matei. The Neumann problem for free boundaries in two dimensions. C. R. Acad. Sci. Paris, Ser. I 335 (7), (2002), 1-6. MR1941301 (2003i:35286)
    • (2002) C. R. Acad. Sci. Paris, Ser. I , vol.335 , Issue.7 , pp. 1-6
    • Matei, A.-M.1

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