On some dissipative boundary value problems for the Laplacian

Daisuke FUJIWARA; Kôichi UCHIYAMA

doi:10.2969/jmsj/02340625

Daisuke FUJIWARA, Kôichi UCHIYAMA

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 4 Pages 625-635

DOI https://doi.org/10.2969/jmsj/02340625

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Published: 1971 Received: February 26, 1971 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Daisuke FUJIWARA, Koichi UCHIYAMA
Right : Daisuke FUJIWARA¹⁾, Kôichi UCHIYAMA¹⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Right :
1) the Courant Institute of Mathematical Sciences, New York University

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Agmon, The coerciveness problem for integro-differential forms, J. Analyse Math., 6 (1958), 183-223.
2) L. Boutet de Monvel, Comportement d'un opérateur pseudo-différéntiel sur une variété à bord II, J. Analyse Math., 17 (1966, 255-304.
3) D. Fujiwara, On the asymptotic behaviour of the Green operators for elliptic boundary problems and the pure imaginary powers of some second order operators, J. Math. Soc. Japan, 21 (1969), 481-522.
4) D. Fujiwara, On some homogeneous boundary value problems bounded below, J. Fac. Sci. Univ. Tokyo, 17 (1970), 123-152.
5) P. Greiner, An asymptotic expansion for the heat equation, Preprint, University of Toronto.
6) G. Grubb, Les problèmes aux limites généraux d'un opérateur elliptique, provenant de la théorie variationnelle, Bull. Sci. Math., 94 (1970), 113-157.
7) S. Kobayashi and K. Nomizu, Foundations of differential geometry, Interscience, New York, 1963.
8) J. L. Lions, Sur les problèmes aux limites du type dérivée oblique, Ann. of Math., 64 (1956), 207-239.
9) R. A. Melin, Lower bounds for pseudo-differential operators, Preprint of Institut Mittag-Leffler.
10) P. T. Seeley, The resolvent of an elliptic boundary problems, Amer. J. Math., 91 (1969), 889-920.
11) N. Shimakura, Problèmes aux limites variationnels du type elliptique, Ann. Sci. École Norm. Sup. Paris, (4 Série) 2 (1969), 255-310.

Right : [1] S. Agmon, The coerciveness problem for integro-differential forms, J. Analyse Math., 6 (1958), 183-223.
[2] L. Boutet de Monvel, Comportement d'un opérateur pseudo-différéntiel sur une variété à bord II, J. Analyse Math., 17 (1966, 255-304.
[3] D. Fujiwara, On the asymptotic behaviour of the Green operators for elliptic boundary problems and the pure imaginary powers of some second order operators, J. Math. Soc. Japan, 21 (1969), 481-522.
[4] D. Fujiwara, On some homogeneous boundary value problems bounded below, J. Fac. Sci. Univ. Tokyo, 17 (1970), 123-152.
[5] P. Greiner, An asymptotic expansion for the heat equation, Preprint, University of Toronto.
[6] G. Grubb, Les problèmes aux limites généraux d'un opérateur elliptique, provenant de la théorie variationnelle, Bull. Sci. Math., 94 (1970), 113-157.
[7] S. Kobayashi and K. Nomizu, Foundations of differential geometry, Interscience, New York, 1963.
[8] J. L. Lions, Sur les problèmes aux limites du type dérivée oblique, Ann. of Math., 64 (1956), 207-239.
[9] R. A. Melin, Lower bounds for pseudo-differential operators, Preprint of Institut Mittag-Leffler.
[10] P. T. Seeley, The resolvent of an elliptic boundary problems, Amer. J. Math., 91 (1969), 889-920.
[11] N. Shimakura, Problèmes aux limites variationnels du type elliptique, Ann. Sci. École Norm. Sup. Paris, (4 Série) 2 (1969), 255-310.

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