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Time dependent nonlinear Schrödinger equations. (English) Zbl 0399.35030


MSC:

35J10 Schrödinger operator, Schrödinger equation
35D10 Regularity of generalized solutions of PDE (MSC2000)
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References:

[1] BROWDER, F.E.: On the spectral theory of elliptic differential operators I. Math. Ann.142, 22-130 (1961) · Zbl 0104.07502
[2] FRIEDMAN, A.: Partial differential equations. Holt, Rinehart and Winston, New York (1969) · Zbl 0224.35002
[3] LIONS, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Gauthier-Villars, Paris (1969)
[4] PECHER, H.: Globale klassische Lösungen nichtlinearer Wellengleichungen für höhere Raumdimensionen. Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Klasse Nr.14, 221-232 (1975) · Zbl 0317.35058
[5] PECHER, H.: LP-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen I. Math. Z.150, 159-183 (1976) · Zbl 0347.35053
[6] von WAHL, W.: Über nichtlineare Wellengleichungen mit zeitabhängigem elliptischen Hauptteil. Math. Z.142, 105-120 (1975) · Zbl 0299.35064
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