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On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. (English) Zbl 0396.35028

MSC:
35J10 Schrödinger operator, Schrödinger equation
35J60 Nonlinear elliptic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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