The Dirichlet problem for the biharmonic equation in a Lipschitz domain

Carlos E. Kenig

Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985)

  • page 1-6

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Kenig, Carlos E.. "The Dirichlet problem for the biharmonic equation in a Lipschitz domain." Séminaire Équations aux dérivées partielles (Polytechnique) (1984-1985): 1-6. <http://eudml.org/doc/111871>.

@article{Kenig1984-1985,
author = {Kenig, Carlos E.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Dirichlet problem; biharmonic equation; Lipschitz domain; existence; uniqueness},
language = {eng},
pages = {1-6},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {The Dirichlet problem for the biharmonic equation in a Lipschitz domain},
url = {http://eudml.org/doc/111871},
year = {1984-1985},
}

TY - JOUR
AU - Kenig, Carlos E.
TI - The Dirichlet problem for the biharmonic equation in a Lipschitz domain
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1984-1985
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 6
LA - eng
KW - Dirichlet problem; biharmonic equation; Lipschitz domain; existence; uniqueness
UR - http://eudml.org/doc/111871
ER -

References

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  1. [1] J. Cohen and J. Gosselin: The Dirichlet problem for the biharmonic equation in a Cl domain in the plane, Indiana U. Math.J. Vol.32, 5 (1983), 635-685. Zbl0534.31003MR711860
  2. [2] 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. Zbl0497.42012MR672839
  3. [3] R. Coifman and Y. Meyer: Au delà des opérateurs pseudodifférentiels, Astérisque57, (1978). Zbl0483.35082MR518170
  4. [4] B. Dahlberg: On estimates for harmonie measure, Arch. for Rational Mech. and Anal.65 (1977), 272-288. Zbl0406.28009MR466593
  5. [5] B. Dahlberg: On the Poisson integral for Lipschitz and Cl domains, Studia Math.66 (1979), 13-24. Zbl0422.31008MR562447
  6. [6] B. Dahlberg: Weighted norm inequalities for the Lusin area integral and the non-tangentiel maximal functions for functions harmonie in a Lipschitz domain, Studia Math.67 (1980), 297-314. Zbl0449.31002MR592391
  7. [7] B. Dahlberg and C. Kenig: Hardy spaces and the LP-Neumann problem for Laplace's equation in a Lipschitz domain, preprint. 
  8. [8] B. Dahlberg and C. Kenig: Area integral estimates for higher order boundary value problems on Lipschitz domains, in preparation. 
  9. [9] B. Dahlberg, C. Kenig and G. Verchota: The Dirichlet problem for the biharmonic equation in a Lipschitz domain, preprint. Zbl0589.35040
  10. [10] D. Jerison and C. Kenig: The Dirichlet problem in non-smooth domains, Annals of Math.113 (1981), 367-382. Zbl0434.35027MR607897
  11. [11] D. Jerison and C. Kenig: The Neumann problem on Lipschitz domains, Bull. A.M.S. Vol. 4 (1981), 203-207. Zbl0471.35026MR598688
  12. [12] E. Stein and G. Weiss: On the theory of harmonie functions of several variables I, Acta Math.103 (1960), 25-62. Zbl0097.28501MR121579
  13. [13] G. Verchota: Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains, to appear J. of functional Analysis. 
  14. [14] G. Verchota: The Dirichlet problem for biharmonic functions in Cl domains, preprint. 

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