no. 7
The Neumann problem for free boundaries in two dimensions
[Le problème de Neumann pour les frontières libres en deux dimensions]
Matei, Ana-Maria1
1 McMaster University, Department of Mathematics and Statistics, 1280 Main Street West, Hamilton, On L8S 4K1, Canada
Comptes Rendus. Mathématique, Tome 335 (2002) no. 7, pp. 597-602.

Nous généralisons au cas avec tension superficielle un résultat de H. Lewy concernant la régularité a priori des solutions en ondes progressives pour le problème d'écoulements à surface libre.

We extend to the case with surface tension a theorem of H. Lewy concerning the a priori regularity of traveling waves solutions of the free surface problem of water waves.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02530-X
Matei, Ana-Maria 1

1 McMaster University, Department of Mathematics and Statistics, 1280 Main Street West, Hamilton, On L8S 4K1, Canada 
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Matei, Ana-Maria. The Neumann problem for free boundaries in two dimensions. Comptes Rendus. Mathématique, Tome 335 (2002) no. 7, pp. 597-602. doi : 10.1016/S1631-073X(02)02530-X. http://www.numdam.org/articles/10.1016/S1631-073X(02)02530-X/

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[2] Amick, C.J.; Fraenkel, L.E.; Toland, J.F. On the Stokes conjecture for the wave of extreme form, Acta Math., Volume 148 (1982), pp. 193-214

[3] Kinderlehrer, D.; Nirenberg, L. Regularity in free boundary value problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) (1977), pp. 373-391

[4] Kinderlehrer, D.; Nirenberg, L.; Spruck, J. Regularity in elliptic free boundary problems I, J. Anal. Math., Volume 34 (1978), pp. 86-119

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