Dahlberg B.E.J., Kenig C.E. Harmonic Analysis and Partial Differential Equations

Goteborg: Chalmers University of Technology and University of Geteborg, 1996. — 144 p.Dirichlet Problem for Lipschitz Domain. The Setup.
Proofs of Theorem 1.1 and Theorem 1.2.
Proof of Theorem 1.6.
Proof of Theorem 1.3.
Proof of Theorem 1.4.
Dirichlet Problem for Lipschitz domains. The final arguments for the L2-theory.
Existence of solutions to Dirichlet and Neumann problems for Lipschitz domains. The optimal LP-results.Appendix I C.E. Kenig: Recent Progress on Boundary Value Problems on Lipschitz Domains.
Appendix 2 B.E. Dahlberg/C. E. Kenig: Hardy spaces and the Neumann Problem in L p for Laplace's equation in Lipschitz domains.