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Volumn 28, Issue 1, 2003, Pages 123-142

Sharp estimates of the curvature of some free boundaries in two dimensions

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EID: 0038713386     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (14)
  • 1
    • 84963451046 scopus 로고
    • Compactness methods in free boundary problems
    • CAFFARELLI, L.: Compactness methods in free boundary problems. - Comm. Partial Differential Equations 5, 1980, 427-448.
    • (1980) Comm. Partial Differential Equations , vol.5 , pp. 427-448
    • Caffarelli, L.1
  • 2
    • 0003240443 scopus 로고
    • The schwarz function and its applications
    • Math. Assoc. Amer.
    • DAVIS, P.J.: The Schwarz Function and its Applications. - Carus Math. Monogr., Math. Assoc. Amer., 1974.
    • (1974) Carus Math. Monogr.
    • Davis, P.J.1
  • 4
    • 51249171561 scopus 로고
    • On quadrature domains and an inverse problem in potential theory
    • GUSTAFSSON, B.: On quadrature domains and an inverse problem in potential theory. J. Anal. Math. 55, 1990, 172-216.
    • (1990) J. Anal. Math. , vol.55 , pp. 172-216
    • Gustafsson, B.1
  • 5
    • 0028423461 scopus 로고
    • Properties of some balayage operators with applications to quadrature domains and moving boundary problems
    • GUSTAFSSON, B., and M. SAKAI: Properties of some balayage operators with applications to quadrature domains and moving boundary problems. - Nonlinear Anal. 22, 1994, 1221-1245.
    • (1994) Nonlinear Anal. , vol.22 , pp. 1221-1245
    • Gustafsson, B.1    Sakai, M.2
  • 6
    • 33749026600 scopus 로고
    • The flow of water
    • HELE-SHAW, H.S.: The flow of water. - Nature 58, 1898, 34-36.
    • (1898) Nature , vol.58 , pp. 34-36
    • Hele-Shaw, H.S.1
  • 9
    • 0015491441 scopus 로고
    • Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
    • RICHARDSON, S.: Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel. - J. Fluid Mech. 56, 1972, 609-618.
    • (1972) J. Fluid Mech. , vol.56 , pp. 609-618
    • Richardson, S.1
  • 11
    • 0003361311 scopus 로고
    • Quadrature domains
    • Springer-Verlag, Berlin-Heidelberg
    • SAKAI, M.: Quadrature Domains. - Lecture Notes in Math. 934, Springer-Verlag, Berlin-Heidelberg, 1982.
    • (1982) Lecture Notes in Math. , vol.934
    • Sakai, M.1
  • 12
    • 0001191658 scopus 로고
    • Regularity of boundary having a Schwarz function
    • SAKAI, M.: Regularity of boundary having a Schwarz function. - Acta Math. 166, 1991, 263-297.
    • (1991) Acta Math. , vol.166 , pp. 263-297
    • Sakai, M.1
  • 13
    • 0000697048 scopus 로고
    • Regularity of free boundaries in two dimensions
    • SAKAI, M.: Regularity of free boundaries in two dimensions. - Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20, 1993, 323-339.
    • (1993) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.20 , pp. 323-339
    • Sakai, M.1
  • 14
    • 0003366699 scopus 로고
    • The schwarz function and its generalization to higher dimensions
    • Wiley, New York
    • SHAPIRO, H.S.: The Schwarz Function and its Generalization to Higher Dimensions. Univ. Arkansas Lecture Notes in Math. 9, Wiley, New York, 1992.
    • (1992) Univ. Arkansas Lecture Notes in Math. , vol.9
    • Shapiro, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.