Work

On the regularization of the collision solutions of the one-center problem with weak forces

Year: 2011

Type: article

Abstract: We study the possible regularization of collision solutions for one centre problems with a weak singularity. In the case of logarithmic singularities, we consider the method of regularization via smoothing of the potential. With this technique, we prove that the extended flow, where collision solutions are replaced with transmission trajectories, is continuous, though not differentiable, with respect to the initial data.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2011.31.1197

Authors: Roberto Castelli, Susanna Terracini

Institutions: Basque Center for Applied Mathematics, University of Milano-Bicocca

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2963230478

FWCI: 2.01

Cites: 23

Cited by: 12

Related to: 10