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arXiv · 2603.03170

Schr\"odinger ultrahyperbolic equations with singular coefficients

Claudia Garetto·Davide Tramontana
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Abstract

In this paper we investigate the Cauchy problem for Schr\"odinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove $H^\infty$ well-posedness in the very weak sense under suitable assumptions of the distributional structure of the coefficients and decay on the lower order terms. Consistency is proven with the classical $H^\infty$-results when the equation coefficients are smooth.

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Claudia Garetto, Davide Tramontana. 2026-03-03. Schr\"odinger ultrahyperbolic equations with singular coefficients. https://arxiv.org/abs/2603.03170

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