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<p>We consider the Cauchy problem for Schrödinger 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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Alexandre Arias Junior

摘要

We consider the Cauchy problem for Schrödinger 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.