A unique continuation theorem for solutions of a parabolic differential equation

Seizô ITÔ; Hidehiko YAMABE

doi:10.2969/jmsj/01030314

Seizô ITÔ, Hidehiko YAMABE

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ジャーナルフリー

1958 年 10 巻 3 号 p. 314-321

DOI https://doi.org/10.2969/jmsj/01030314

詳細

Published: 1958 Received: 1958/04/21 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Seizo ITO¹⁾, Hidehiko YAMABE²⁾
Right : Seizô ITÔ¹⁾, Hidehiko YAMABE²⁾

訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) N. Aronszajn, Sur l'unicité du prolongement des solution des équation aux derivées partielles elliptiques du second order, C.R. Acad. Sci. Paris, 242 (1956), 723-725.
2) N. Aronszajn, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. Tech. Report 16, Univ. of Kansas (1956).
3) F.E. Browder, The eigenfunction expansion theorem for the general self-adjoint singular elliptic partial differential operator, I and II, Proc. Nat. Acad. Sci., 40 (1954), 454-459, 459-463.
4) F.E. Browder, The eigenfunction expansions for formally self-adjoint partial differential operator, I and II, The eigenfunction expansions for formally self-adjoint partial differential operator., 42 (1956), 769-771, 870-872.
5) L. Gåring, Eigenfunction expansion connected with elliptic differential operators, Talfte Skandinaviks Matematikerkongressen, Lund (1953).
6) S. Ito, Fundamental solutions of parabolic differential equations and boundary value problems, to appear on Jap. J. Math.
7) L. Schwartz, Théorie des distributions, I et II, Paris, 1950, 1951.
8) H. Yamabe, "A unique continuation theorem of a diffusion equasion", to appear on Ann. of Math.

Right : 1) N. Aronszajn, Sur l'unicité du prolongement des solution des équation aux derivées partielles elliptiques du second order, C. R. Acad. Sci. Paris, 242 (1956), 723-725.
2) N. Aronszajn, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. Tech. Report 16, Univ. of Kansas (1956).
3) F. E. Browder, The eigenfunction expansion theorem for the general self-adjoint singular elliptic partial differential operator, I and II, Proc. Nat. Acad. Sci., 40 (1954), 454-459, 459-463.
4) F. E. Browder, The eigenfunction expansions for formally self-adjoint partial differential operator, I and II, The eigenfunction expansions for formally self-adjoint partial differential operator., 42 (1956), 769-771, 870-872.
5) L. Gåring, Eigenfunction expansion connected with elliptic differential operators, Talfte Skandinaviks Matematikerkongressen, Lund (1953).
6) S. Itô, Fundamental solutions of parabolic differential equations and boundary value problems, to appear on Jap. J. Math.
7) L. Schwartz, Théorie des distributions, I et II, Paris, 1950, 1951.
8) H. Yamabe, “A unique continuation theorem of a diffusion equasion”, to appear on Ann. of Math.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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