Document Zbl 0402.31009

Fabes, E. B.; Jodeit, M. jun.; Riviere, N. M.

Potential techniques for boundary value problems on \(C^1\)-domains. (English) Zbl 0402.31009

Acta Math. 141, 165-186 (1978).

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MSC:

31B20	Boundary value and inverse problems for harmonic functions in higher dimensions
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35C15	Integral representations of solutions to PDEs
35B45	A priori estimates in context of PDEs

Keywords:

Dirichlet Problem; Boundary Data; Double Layer Potential

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References:

[1]	Calderón, A. P., Cauchy integrals on Lipschitz curves and related operators.Proc. Nat. Acad. Sci. U.S.A., 74 (1977), 1324–1327. · Zbl 0373.44003 · doi:10.1073/pnas.74.4.1324
[2]	Calderón, A. P., Calderón, C. P., Fabes, E. B., Jodeit M. & Riviére, N. M., Applications of the Cauchy integral along Lipschitz evrves. To appear inBull. Amer. Math. Soc.
[3]	Dahlberg, B. E. J., On the Poisson Integral for Lipschitz andC 1-domains. Technical Report. Department of Mathematics Chalmers University of Technology and the University of Göteborg, No. 1977-78.
[4]	Seeley, R. T., Singular integrals on compact manifolds.Amer. J. Math. Journal, 81 (1959), 658–690. · Zbl 0109.33001 · doi:10.2307/2372921
[5]	Stein, E. M.,Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0207.13501

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