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On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces. (English. Russian original) Zbl 1423.35327

J. Math. Sci., New York 241, No. 5, 589-595 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 79-85 (2017).
Summary: We prove the separation property for a certain class of nonlinear second-order differential operators with variable matrix coefficients in weighted spaces, that, in general, are not weak perturbations of linear operators.

MSC:

35Q40 PDEs in connection with quantum mechanics
35J10 Schrödinger operator, Schrödinger equation
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