Regularity of free boundaries in two dimensions

Makoto Sakai

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 3, page 323-339
  • ISSN: 0391-173X

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Sakai, Makoto. "Regularity of free boundaries in two dimensions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.3 (1993): 323-339. <http://eudml.org/doc/84151>.

@article{Sakai1993,
author = {Sakai, Makoto},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Schwarz function; singularities of the free boundary},
language = {eng},
number = {3},
pages = {323-339},
publisher = {Scuola normale superiore},
title = {Regularity of free boundaries in two dimensions},
url = {http://eudml.org/doc/84151},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Sakai, Makoto
TI - Regularity of free boundaries in two dimensions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 3
SP - 323
EP - 339
LA - eng
KW - Schwarz function; singularities of the free boundary
UR - http://eudml.org/doc/84151
ER -

References

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  1. [1] L.A. Caffarelli - N.M. Rivière, Smoothness and analyticity of free boundaries in variational inequalities. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 3 (1976), 289-310. Zbl0363.35009MR412940
  2. [2] L.A. Caffarelli - N.M. Rivière, Asymptotic behaviour of free boundaries at their singular points. Ann. of Math. (2), 106 (1977), 309-317. Zbl0364.35041MR463690
  3. [3] D. Kinderlehrer - L. Nirenberg, Regularity in free boundary problems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4 (1977), 373-391. Zbl0352.35023MR440187
  4. [4] D. Kinderlehrer - G. Stampacchia, An Introduction to Variational Inequalities and Their Applications. Academic Press, New York, 1980. Zbl0457.35001MR567696
  5. [5] H. Lewy - G. Stampacchia, On the regularity of the solution of a variational inequality. Comm. Pure Appl. Math., 22 (1969), 153-188. Zbl0167.11501MR247551
  6. [6] J.F. Rodrigues, Obstacle Problems in Mathematical Physics. North-Holland, Amsterdam, 1987. Zbl0606.73017MR880369
  7. [7] M. Sakai, An index theorem on singular points and cusps of quadrature domains. In Holomorphic Functions and Moduli, Vol. I. Math. Sci. Res. Inst. Publ., No. 10, Springer, New York, 1988, 119-131. Zbl0663.30040MR955814
  8. [8] M. Sakai, Regularity of a boundary having a Schwarz function, Acta Math., 166 (1991), 263-297. Zbl0728.30007MR1097025
  9. [9] D.G. Schaeffer, Some examples of singularities in a free boundary. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4 (1977), 133-144. Zbl0354.35033MR516201

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