Schrödinger ultrahyperbolic equations with singular coefficients
Abstract
In this paper we investigate the Cauchy problem for Schrödinger 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.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Advanced Mathematical Physics Problems
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 568
- Issue
- 1
- Pages
- 131171–131171
- Publication date
- 29 October 2026
- Language
- EN