Schr\"odinger ultrahyperbolic equations with singular coefficients
Abstract
In this paper we investigate the Cauchy problem for Schr\"odinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove H∞ 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∞-results when the equation coefficients are smooth.
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