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<p>We prove results of energy well-posedness without loss of derivatives of the Cauchy problem for scalar and system equations of Schrödinger type with limited smoothness in the space variables. The result for systems is applied to a class of second order (in time) evolution equations containing the model of vibrating plates.</p>

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Schrödinger equations with limited smoothness

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月6日

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  • Massimo Cicognani

摘要

We prove results of energy well-posedness without loss of derivatives of the Cauchy problem for scalar and system equations of Schrödinger type with limited smoothness in the space variables. The result for systems is applied to a class of second order (in time) evolution equations containing the model of vibrating plates.