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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JOURNAL FREE ACCESS

1958 Volume 10 Issue 3 Pages 314-321

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

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Published: 1958 Received: April 21, 1958 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Seizo ITO¹⁾, Hidehiko YAMABE²⁾
Right : Seizô ITÔ¹⁾, Hidehiko YAMABE²⁾

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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