Lower bounds on the radius of spatial analyticity for the KdV equation
Sigmund Selberg, Daniel Oliveira Da Silva
TL;DR
This paper provides improved estimates for the radius of spatial analyticity of solutions to the KdV equation, enhancing previous results in the field.
Contribution
It introduces sharper bounds on the analyticity radius for KdV solutions, advancing theoretical understanding of their regularity properties.
Findings
Improved bounds on the analyticity radius for KdV solutions
Enhanced understanding of solution regularity over time
Refinement of previous estimates by Bona, Grujić, and Kalisch
Abstract
We present estimates for the radius of analyticity of solutions to the Korteweg-de Vries equation, which improve earlier results due to Bona, Gruji\'c and Kalisch.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Advanced Harmonic Analysis Research