Some remarks on the Cauchy Problem for Schrödinger type equations in Gelfand-Shilov spaces

Published 15 Sep 2023 in math.AP | (2309.08194v1)

Abstract: We consider the Cauchy problem for Schr\"odinger type operators. Under a suitable decay assumption on the imaginary part of the first order coefficients we prove well-posedness of the Cauchy problem in Gelfand-Shilov classes. We also discuss the optimality of our result through some examples.

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Authors (1)

Alexandre Arias Junior

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