## Duke Mathematical Journal

### Regularity of solutions to the Schrödinger equation

Per Sjölin

#### Article information

Source
Duke Math. J. Volume 55, Number 3 (1987), 699-715.

Dates
First available in Project Euclid: 20 February 2004

http://projecteuclid.org/euclid.dmj/1077306171

Digital Object Identifier
doi:10.1215/S0012-7094-87-05535-9

Mathematical Reviews number (MathSciNet)
MR904948

Zentralblatt MATH identifier
0631.42010

Subjects
Primary: 35B65: Smoothness and regularity of solutions

#### Citation

Sjölin, Per. Regularity of solutions to the Schrödinger equation. Duke Math. J. 55 (1987), no. 3, 699--715. doi:10.1215/S0012-7094-87-05535-9. http://projecteuclid.org/euclid.dmj/1077306171.

#### References

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• [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.
• [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.
• [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.
• [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.
• [6] A. Miyachi, On some singular Fourier multipliers, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981), no. 2, 267–315.