Singularity for Solutions of Linearized KdV Equations
Keiichi Kato, Masaki Kawamoto, Koichiro Nanbu
TL;DR
This paper studies how singularities in solutions to the linearized KdV equation evolve over time using wave front set analysis via wave packet transforms.
Contribution
It introduces a method to analyze the propagation of singularities in linearized KdV solutions through wave packet transform characterization.
Findings
Singularity propagation is characterized using wave front sets.
Wave packet transform effectively captures singularity dynamics.
Results provide insights into the regularity properties of solutions.
Abstract
We investigate the time propagation of singularity of a solution to linearized KdV equation by using the characterization of wave front sets with using to the wave packet transform (short time Fourier transform).
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