Article PDF
Avoid common mistakes on your manuscript.
References
Agmon, S., Multiple layer potentials and the Dirichlet problem for higher order elliptic equations in the plane,Comm. Pure. Appl. Math. 10 (1957), 179–239.
Calderón, A. P., Cauchy integrals on Lipschitz curves and related operators,Proc. Nat. Acad. Sci. U.S.A. 74 (1977), 1324–1327.
Cohen, J. andGosselin, J., The Dirichlet problem for the harmonic equation in a boundedC 1 domain in the plane,Indiana Univ. Math. J. 32 (1983), 635–685.
Cohen, J. andGosselin, J., Stress potentials onC 1 domains, (preprint).
Coifman, R. R., McIntosh, A. andMeyer, Y., L'intégral de Cauchy définit un opérateur borné surL 2 pour les courbes Lipschitziennes,Ann. of Math. 116 (1982), 361–387.
Fabes, E., Jodeit, M. andRivière, N., Potential techniques for boundary value problems onC 1 domains,Acta Math. 141 (1978), 165–186.
Fabes, E. andKenig, C., On the Hardy spaceH 1 of aC 1 domain,Ark. Mat. 19 (1981), 1–22.
Folland, G.,Introduction to Partial Differential Equations, Princetcn University Press, Mathematical Notes, #17, 1976.
Muskhelishvili, N. I.,Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff Ltd., Groningen -The Netherlands, 1963.
Verchota, G., Layer potentials and boundary value problems for Laplace's equation on Lipschitz domains,Ph. D. thesis, University of Minnesota, 1982.
Author information
Authors and Affiliations
Additional information
Supported by a Faculty Development Award from The University of Tennessee.
Rights and permissions
About this article
Cite this article
Cohen, J., Gosselin, J. Adjoint boundary value problems for the biharmonic equation onC 1 domains in the plane. Ark. Mat. 23, 217–240 (1985). https://doi.org/10.1007/BF02384427
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02384427