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Regularity of solutions to the Schrödinger equation

Per Sjölin
Source: Duke Math. J. Volume 55, Number 3 (1987), 699-715.
First Page: Show Hide
Primary Subjects: 35B65
Secondary Subjects: 35D10, 35J10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077306171
Mathematical Reviews number (MathSciNet): MR904948
Zentralblatt MATH identifier: 0631.42010
Digital Object Identifier: doi:10.1215/S0012-7094-87-05535-9

References

[1] A. Carbery, Radial Fourier multipliers and associated maximal functions, Recent Progress in Fourier Analysis (El Escorial, 1983), North-Holland Mathematics Studies, vol. 111, North-Holland, Amsterdam, 1985, pp. 49–56.
Mathematical Reviews (MathSciNet): MR87i:42029
Zentralblatt MATH: 0632.42012
[2] L. Carleson, Some analytical problems related to statistical mechanics, Euclidean Harmonic Analysis (Proc. Sem., Univ. Maryland, College Park, Md., 1979), Lecture Notes in Math., vol. 779, Springer, Berlin, 1980, pp. 5–45.
Mathematical Reviews (MathSciNet): MR82j:82005
Zentralblatt MATH: 0425.60091
[3] M. Cowling, Pointwise behavior of solutions to Schrödinger equations, Harmonic Analysis (Cortona, 1982), Lecture Notes in Math., vol. 992, Springer, Berlin, 1983, pp. 83–90.
Mathematical Reviews (MathSciNet): MR85c:34029
Zentralblatt MATH: 0523.47015
[4] B. E. J. Dahlberg and C. E. Kenig, A note on the almost everywhere behavior of solutions to the Schrödinger equation, Harmonic Analysis (Minneapolis, Minn., 1981), Lecture Notes in Math., vol. 908, Springer, Berlin, 1982, pp. 205–209.
Mathematical Reviews (MathSciNet): MR83f:35023
Zentralblatt MATH: 0519.35022
[5] C. E. Kenig and A. Ruiz, A strong type $(2,\,2)$ estimate for a maximal operator associated to the Schrödinger equation, Trans. Amer. Math. Soc. 280 (1983), no. 1, 239–246.
Mathematical Reviews (MathSciNet): MR85c:42010
Zentralblatt MATH: 0525.42011
Digital Object Identifier: doi:10.2307/1999611
[6] A. Miyachi, On some singular Fourier multipliers, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981), no. 2, 267–315.
Mathematical Reviews (MathSciNet): MR83a:42017
Zentralblatt MATH: 0469.42003
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