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

2023/09/15 by Junior, Alexandre Arias · 1 citation
Mathematics · #35B65 #35G10 #35S05 #46F05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2309.08194

openalex publication_date 2023/09/15 · openalex created_date 2023/09/19 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Global Hypoellipticity for Systems in Time-Periodic Gelfand-Shilov Spaces

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