Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains

Carlos E. Kenig

Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)

  • page 1-12

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Kenig, Carlos E.. "Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains." Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984): 1-12. <http://eudml.org/doc/111853>.

@article{Kenig1983-1984,
author = {Kenig, Carlos E.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Lipschitz domains; linear elastostatics; hydrostatics},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains},
url = {http://eudml.org/doc/111853},
year = {1983-1984},
}

TY - JOUR
AU - Kenig, Carlos E.
TI - Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1983-1984
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
KW - Lipschitz domains; linear elastostatics; hydrostatics
UR - http://eudml.org/doc/111853
ER -

References

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  1. [1] A.P. Calderon, Cauchy integrals on Lipchitz curves and related operators, Proc. Mat. Acad . Sc. U .S .A, 74 (1977), 1324-1327. Zbl0373.44003MR466568
  2. [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 Math116 (1982), 361-387. Zbl0497.42012MR672839
  3. [3] B.E.J. Dahlberg, On estimates of harmonic measure, Arch. Rational Mech. Anal65 (1977), 272-288. Zbl0406.28009MR466593
  4. [4] B.E.J. Dahlberg, On the Poisson integral for Lipschitz and C 1 domains, Studia Math.66 (1979), 13-24. Zbl0422.31008MR562447
  5. [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 Math67 (1980), 297-314. Zbl0449.31002MR592391
  6. [6] E. Fabes, M. Jodeit Jr. and N. Rivière, Potential technique for boundary value problems on C1 domains, Acta Math. 141 (1978), 165-186 Zbl0402.31009MR501367
  7. [7] A. Gutieviez, Boundary value problem for linear elastostatics on C1 domains, University of Minnesota preprint, 1980. 
  8. [8] D. Jerison and C. Kenig, An identity with applications to harmonic measure, Bull. AMS, Vol 2 (1980), 447-451. Zbl0436.31002MR561530
  9. [9] D. Jerison and C. Kenig, The Dirichlet problem in non-smooth domains, Annals of Math.13 (1981), 367-382. Zbl0434.35027MR607897
  10. [10] D. Jerison and C. Kenig, The Neumann problem on Lipschitz domains, Bull. AMS, Vol .4 (1981), 203-207. Zbl0471.35026MR598688
  11. [11] V.D. Kupradze, Three dimensional problems of the mathematical theory of elasticity and thermoelasticity, North Holland, New-York, 1979. Zbl0406.73001MR530377
  12. [12] O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon and Breach, New York, 1963. Zbl0184.52603MR155093
  13. [13] J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. MR227584
  14. [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. Zbl0093.10901MR104047
  15. [15] F. Rellich, Darstelling der eigenwerte von Δu + λu durch ein randintegral, Math.Z.46 (1940), 635-646. Zbl0023.04204JFM66.0460.01
  16. [16] G. Verchota, Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains, University of Minnesota, 1982. 

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