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arXiv · 2309.08194

Some remarks on the Cauchy Problem for Schr\"odinger type equations in Gelfand-Shilov spaces

Alexandre Arias Junior
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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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Alexandre Arias Junior. 2023-09-15. Some remarks on the Cauchy Problem for Schr\"odinger type equations in Gelfand-Shilov spaces. https://arxiv.org/abs/2309.08194

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