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.
Cicognani, M. (2025). Schrödinger equations with limited smoothness. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 16(4), 1-18 [10.1007/s11868-025-00737-z].
Schrödinger equations with limited smoothness
Cicognani, Massimo
Primo
2025
Abstract
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.File in questo prodotto:
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