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Jaulent, Marcel; Jean, Cecile

The inverse problem for the one-dimensional Schrödinger equation with an energy-dependent potential. I. (English) Zbl 0357.34018

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 25, 105-118 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Review
Cited in 24 Documents

MSC:

34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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\textit{M. Jaulent} and \textit{C. Jean}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 25, 105--118 (1976; Zbl 0357.34018)
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References:

[1] M. Jaulent , Inverse scattering problems in absorbing media, to be published in Journ. of Math. Phys. [2] I. Kay , Research Report n^\circ EM-74-NY-University . Inst. Math. Sci., Electromagnetic Research , 1955 .
[2] I. Kay and H.E. Moses , Nuovo Cimento , t. 3 , 2 , 1956 , p. 276 - 304 . MR 76961 | Zbl 0074.22501 · Zbl 0074.22501
[3] L.D. Faddeev , Trudy Mat. Inst. Steklov , t. 73 , 1964 , p. 314 - 336 , Amer. Math. Soc. Transl. ( 2 ), t. 65 , 1967 , p. 139 - 166 . MR 178188 | Zbl 0145.46702 · Zbl 0145.46702
[4] Z.S. Agranovich and V.A. Marchenko , The inverse problem of scattering theory , Gordon and Breach , New York , 1963 . MR 162497 | Zbl 0117.06003 · Zbl 0117.06003
[5] M. Jaulent and C. Jean , Cahiers Mathématiques de Montpellier , n^\circ 7 , 1975 . Zbl 0341.35070 · Zbl 0341.35070
[6] M. Jaulent and C. Jean , Commun. Math. Phys. , t. 28 , 1972 , p. 177 - 220 . Article | MR 311227
[7] M. Jaulent , Ann. Inst. Henri Poincaré , Vol. XVII , n^\circ 4 , 1972 , p. 363 - 378 . Numdam | MR 363217
[8] M. Jaulent , C. R. Acad. Sc. Paris , série A , t. 280 , 1975 , p. 1467 - 1470 . MR 375988
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