Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential

DOI10.1063/5.0184443zbMATH Open1543.35077MaRDI QIDQ6582827

Yukihide Tadano, Keiichi Kato, Wataru Nakahashi

Publication date: 5 August 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Cites Work

• Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
• Remarks on convergence of the Feynman path integrals
• Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
• The Schrödinger equation on spheres.
• Singularities for solutions to time dependent Schr\"odingier equations with sub-quadratic potential
• Smoothness of the fundamental solution of Schrödinger equations with mild trapping
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