Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential
Author:
Affiliation:
1. Department of Mathematics, Tokyo University of Science Kagurazaka 1-3, Shinjuku-ku, Tokyo 162-8601, Japan
2. College of Liberal Arts and Sciences, Kitasato University Kitasato 1-15-1, Minami-ku, Sagamihara, Kanagawa 252-0373, Japan
Publisher
SUT Journal of Mathematics - Tokyo University of Science
Subject
General Mathematics
Reference24 articles.
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3. [3] J.-M. Delort, F.B.I. transformation. Second microlocalization and semilinear caustics. Lecture Notes in Mathematics, 1522. Springer-Verlag, Berlin, 1992.
4. [4] S. Doi, Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow, Math. Ann. 318 (2000), 355–389.
5. [5] S. Doi, Commutator algebra and abstract smoothing effect, J. Funct. Anal. 168 (1999), 428–469.
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1. Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential;Journal of Mathematical Physics;2024-07-01
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