The Neumann and Dirichlet problems for elliptic operators

Hisako WATANABE

doi:10.2969/jmsj/04430441

Hisako WATANABE

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ジャーナルフリー

1992 年 44 巻 3 号 p. 441-454

DOI https://doi.org/10.2969/jmsj/04430441

詳細

Published: 1992 Received: 1991/07/23 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : The Neumann and Dirichiet problems for elliptic operators
Right : The Neumann and Dirichlet problems for elliptic operators

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) P. Ahern and A. Nagel, Strong L^p estimates for maximal functions with respect to singular measures: with applications to exceptional sets, Duke Math. J., 53 (1986), 359-393.
2) B. E. J. Dahlberg and C. E. Kenig, Hardy spaces and the Neumann problem in L^p for Laplace's equation in Lipschitz domains, Ann. Math., 125 (1987), 437-465.
3) E. B. Fabes, M. Jodeit JR. and N. M. Rivière, Potential techniques for boundary value problems on C¹-domains, Acta Math., 141 (1978), 165-186.
4) D. S. Jerison and C. E. Kenig, The Neumann problem on Lipschitz domains, Bull. Amer. Math. Soc., 4 (1981), 203-207.
5) C. Miranda, Partial differential equations of elliptic type, Springer, Berlin-Heidelberg- New York-Tokyo, 1970.
6) H. Watanabe, Countably sublinear functionals and Hausdorff measures, Atti Sem. Mat. Fis. Univ. Modena, 39 (1991), 447-456.
7) H. Watanabe, The Neumann problem and Hausdorff measures, Proceedings of the International Conference of Potential Theory, Nagoya 1990, 345-356.
8) H. Watanabe, Boundary behavior of harmonic functions in Lipschitz and C¹-domains, Natur. Sci. Rep. Ochanomizu Univ., 42 (1991), 1-13.

Right : [1] P. Ahern and A. Nagel, Strong L^p estimates for maximal functions with respect to singular measures: with applications to exceptional sets, Duke Math. J., 53 (1986), 359-393.
[2] B. E. J. Dahlberg and C. E. Kenig, Hardy spaces and the Neumann problem in L^p for Laplace's equation in Lipschitz domains, Ann. Math., 125 (1987), 437-465.
[3] E. B. Fabes, M. Jodeit JR. and N. M. Rivière, Potential techniques for boundary value problems on C¹-domains, Acta Math., 141 (1978), 165-186.
[4] D. S. Jerison and C. E. Kenig, The Neumann problem on Lipschitz domains, Bull. Amer. Math. Soc., 4 (1981), 203-207.
[5] C. Miranda, Partial differential equations of elliptic type, Springer, Berlin-Heidelberg- New York-Tokyo, 1970.
[6] H. Watanabe, Countably sublinear functionals and Hausdorff measures, Atti Sem. Mat. Fis. Univ. Modena, 39 (1991), 447-456.
[7] H. Watanabe, The Neumann problem and Hausdorff measures, Proceedings of the International Conference of Potential Theory, Nagoya 1990, 345-356.
[8] H. Watanabe, Boundary behavior of harmonic functions in Lipschitz and C¹-domains, Natur. Sci. Rep. Ochanomizu Univ., 42 (1991), 1-13.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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