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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Existence and uniqueness for two-dimensional time-dependent Schrödinger equation

On bounded domains, for some nonlinear schrodinger equations, you might find papers by H. Brezis and T. Gallouet useful. The title of the paper is "Nonlinear Schrodinger evolution equations", and they …
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