Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1983-1984), Exposé no. 21, 12 p.
@article{SEDP_1983-1984____A21_0,
     author = {Kenig, Carlos},
     title = {Boundary value problems of linear elastostatics and hydrostatics on {Lipschitz} domains},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:21},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1983-1984},
     zbl = {0547.73007},
     mrnumber = {811664},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1983-1984____A21_0/}
}
TY  - JOUR
AU  - Kenig, Carlos
TI  - Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:21
PY  - 1983-1984
DA  - 1983-1984///
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SEDP_1983-1984____A21_0/
UR  - https://zbmath.org/?q=an%3A0547.73007
UR  - https://www.ams.org/mathscinet-getitem?mr=811664
LA  - en
ID  - SEDP_1983-1984____A21_0
ER  - 
Kenig, Carlos E. Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1983-1984), Exposé no. 21, 12 p. http://www.numdam.org/item/SEDP_1983-1984____A21_0/

[1] A.P. Calderon, Cauchy integrals on Lipchitz curves and related operators, Proc. Mat. Acad . Sc. U .S .A, 74 (1977), 1324-1327. | MR 466568 | Zbl 0373.44003

[2] R.R. Coifman, A. Mcintosh and Y. Meyer, L'intégrale de Cauchy définit un opérateur borné sur L2 pour les courbes lipschitziennes, Annals of Math 116 (1982), 361-387. | MR 672839 | Zbl 0497.42012

[3] B.E.J. Dahlberg, On estimates of harmonic measure, Arch. Rational Mech. Anal 65 (1977), 272-288. | MR 466593 | Zbl 0406.28009

[4] B.E.J. Dahlberg, On the Poisson integral for Lipschitz and C 1 domains, Studia Math.66 (1979), 13-24. | MR 562447 | Zbl 0422.31008

[5] B.E.J. Dahlberg, Weighted norm inequalities for the Lusin area integral and the non-tangential maximal functions for functions harmonic in a Lipschitz domain, Studia Math 67 (1980), 297-314. | MR 592391 | Zbl 0449.31002

[6] E. Fabes, M. Jodeit Jr. and N. Rivière, Potential technique for boundary value problems on C1 domains, Acta Math. 141 (1978), 165-186 | MR 501367 | Zbl 0402.31009

[7] A. Gutieviez, Boundary value problem for linear elastostatics on C1 domains, University of Minnesota preprint, 1980.

[8] D. Jerison and C. Kenig, An identity with applications to harmonic measure, Bull. AMS, Vol 2 (1980), 447-451. | MR 561530 | Zbl 0436.31002

[9] D. Jerison and C. Kenig, The Dirichlet problem in non-smooth domains, Annals of Math. 13 (1981), 367-382. | MR 607897 | Zbl 0434.35027

[10] D. Jerison and C. Kenig, The Neumann problem on Lipschitz domains, Bull. AMS, Vol .4 (1981), 203-207. | MR 598688 | Zbl 0471.35026

[11] V.D. Kupradze, Three dimensional problems of the mathematical theory of elasticity and thermoelasticity, North Holland, New-York, 1979. | MR 530377 | Zbl 0406.73001

[12] O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon and Breach, New York, 1963. | MR 155093 | Zbl 0184.52603

[13] J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. | MR 227584

[14] L. Payne and H. Weinberger, New bounds for solutions of second order elliptic partial differential equations, Pacific J. of Math. 8 (1958), 551-573. | MR 104047 | Zbl 0093.10901

[15] F. Rellich, Darstelling der eigenwerte von Δu + λu durch ein randintegral, Math.Z. 46 (1940), 635-646. | JFM 66.0460.01 | Zbl 0023.04204

[16] G. Verchota, Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains, University of Minnesota, 1982.