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On the solution of Schrödinger-like wave equations. (English) Zbl 0234.35022

MSC:

35J10 Schrödinger operator, Schrödinger equation
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References:

[1] Lady O.A. : O rešenii nestacionarnyh operatornyh uravnenij različnyh tipov. (On the solution of various kinds of non-stationary operator equations) . Dokl. Ak. Nauk S.S.S.R. 102 ( 1955 ), n. 2 , p. 207 - 210 .
[2] Lax P.D. and Phillips R.S. : The acoustic equation with an indefinite energy norm and the Schrödinger equations , Journal of Functional Analysis 1 , 37 - 83 ( 1967 ). MR 217441 | Zbl 0186.16401 · Zbl 0186.16401
[3] Yosida K. : Functional Analysis , 2nd printing, Springer Verlag , Berlin 1966 . · Zbl 0152.32102
[4] Broer L.J.F. and Peletier L.A. : Some comments on linear wave equations, Appendix A , Appl. Sci. Res. 17 ( 1967 ), p. 65 . Zbl 0145.13804 · Zbl 0145.13804
[5] Titchmarsh E.C. : Introduction to the theory of Fourier integrals , Clarendon Press , Oxford 1948 . JFM 63.0367.05 · JFM 63.0367.05
[6] Hartman Ph.: Ordinary differential equations , J. Wiley , New York , p. 24 ( 1964 ). MR 171038 | Zbl 0125.32102 · Zbl 0125.32102
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