Proceedings of the Japan Academy

A unique continuation theorem for solutions of the Schrödinger equations

Kyûya Masuda
Source: Proc. Japan Acad. Volume 43, Number 5 (1967), 361-364.
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195521603
Mathematical Reviews number (MathSciNet): MR0222449
Zentralblatt MATH identifier: 0153.42601
Digital Object Identifier: doi:10.3792/pja/1195521603

References

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Mathematical Reviews (MathSciNet): MR41010
Zentralblatt MATH: 0044.42701
Digital Object Identifier: doi:10.2307/1990366
[2] Kato, T.: On the existence of solutions of the helium wave equation. Trans. Amer. Math. Soc, 70, 212-218 (1951).
Mathematical Reviews (MathSciNet): MR41011
Zentralblatt MATH: 0044.42702
Digital Object Identifier: doi:10.2307/1990367
[3] Stummel, F.: Singulare elliptische Differentialoperatoren in Hilbertschen Raumen. Math. Ann., 132, 150-176 (1956).
Mathematical Reviews (MathSciNet): MR87002
Zentralblatt MATH: 0070.34603
Digital Object Identifier: doi:10.1007/BF01452327
[4] Wienholtz, E.: Halbbeschrankte partielle Differentialoperatoren zweiter Ordnung vom elliptischen typus. Math. Ann., 135, 50-80 (1958).
Mathematical Reviews (MathSciNet): MR94576
Zentralblatt MATH: 0142.37701
Digital Object Identifier: doi:10.1007/BF01350827
[5] Ikebe, T., and Kato, T.: Uniqueness of the self-adjoint extension of singular elliptic differential operators. Arch. Rat. Mech. Analy., 12, 77-92 (1961).
Mathematical Reviews (MathSciNet): MR142894
Zentralblatt MATH: 0103.31801
Digital Object Identifier: doi:10.1007/BF00253334
[6] Schwartz, L.: Th6orie des Distributions, Vol. 1. Hermann, Paris (1950).
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[7] Browder, F.: Functional analysis and partial differential equations. II. Math. Ann., 145, 81-226 (1962).
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Zentralblatt MATH: 0103.31602
Digital Object Identifier: doi:10.1007/BF01342796
[8] Aronszajn, N.: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. de Math., 36, 235- 247 (1957).
Mathematical Reviews (MathSciNet): MR92067
Zentralblatt MATH: 0084.30402
[9] Masuda, K.: Asymptotic behavior in time of solutions for evolution equations. To appear in the Journal of Functional Analysis.
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Zentralblatt MATH: 0152.34001
Digital Object Identifier: doi:10.1016/0022-1236(67)90027-4

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Proceedings of the Japan Academy

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