The Dirichlet problem for the biharmonic equation in a Lipschitz domain
Séminaire Goulaouic-Schwartz (1984-1985), Exposé no. 19, 6 p. 
@article{SEDP_1984-1985____A19_0,
     author = {Kenig, Carlos E.},
     title = {The {Dirichlet} problem for the biharmonic equation in a {Lipschitz} domain},
     journal = {S\'eminaire Goulaouic-Schwartz},
     note = {talk:19},
     pages = {1--6},
     year = {1984-1985},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     mrnumber = {819785},
     zbl = {0575.35023},
     language = {en},
     url = {https://www.numdam.org/item/SEDP_1984-1985____A19_0/}
}
TY  - JOUR
AU  - Kenig, Carlos E.
TI  - The Dirichlet problem for the biharmonic equation in a Lipschitz domain
JO  - Séminaire Goulaouic-Schwartz
N1  - talk:19
PY  - 1984-1985
SP  - 1
EP  - 6
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - https://www.numdam.org/item/SEDP_1984-1985____A19_0/
LA  - en
ID  - SEDP_1984-1985____A19_0
ER  - 
%0 Journal Article
%A Kenig, Carlos E.
%T The Dirichlet problem for the biharmonic equation in a Lipschitz domain
%J Séminaire Goulaouic-Schwartz
%Z talk:19
%D 1984-1985
%P 1-6
%I Ecole Polytechnique, Centre de Mathématiques
%U https://www.numdam.org/item/SEDP_1984-1985____A19_0/
%G en
%F SEDP_1984-1985____A19_0
Kenig, Carlos E. The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Séminaire Goulaouic-Schwartz (1984-1985), Exposé no. 19, 6 p.. https://www.numdam.org/item/SEDP_1984-1985____A19_0/

[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. | Zbl | MR

[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. | Zbl | MR

[3] R. Coifman and Y. Meyer: Au delà des opérateurs pseudodifférentiels, Astérisque 57, (1978). | Zbl | MR | Numdam

[4] B. Dahlberg: On estimates for harmonie measure, Arch. for Rational Mech. and Anal. 65 (1977), 272-288. | Zbl | MR

[5] B. Dahlberg: On the Poisson integral for Lipschitz and Cl domains, Studia Math. 66 (1979), 13-24. | Zbl | MR

[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. | Zbl | MR

[7] B. Dahlberg and C. Kenig: Hardy spaces and the LP-Neumann problem for Laplace's equation in a Lipschitz domain, preprint.

[8] B. Dahlberg and C. Kenig: Area integral estimates for higher order boundary value problems on Lipschitz domains, in preparation.

[9] B. Dahlberg, C. Kenig and G. Verchota: The Dirichlet problem for the biharmonic equation in a Lipschitz domain, preprint.

[10] D. Jerison and C. Kenig: The Dirichlet problem in non-smooth domains, Annals of Math. 113 (1981), 367-382. | Zbl | MR

[11] D. Jerison and C. Kenig: The Neumann problem on Lipschitz domains, Bull. A.M.S. Vol. 4 (1981), 203-207. | Zbl | MR

[12] E. Stein and G. Weiss: On the theory of harmonie functions of several variables I, Acta Math. 103 (1960), 25-62. | Zbl | MR

[13] G. Verchota: Layer potentials and boundary value problems for Laplace's equation in Lipschitz domains, to appear J. of functional Analysis.

[14] G. Verchota: The Dirichlet problem for biharmonic functions in Cl domains, preprint.