Modulation Spaces and Nonlinear Evolution Equations
Michael Ruzhansky, Mitsuru Sugimoto, Baoxiang Wang
TL;DR
This paper surveys recent advances in modulation spaces and their application to establishing well-posedness for nonlinear evolution equations using frequency-uniform localization techniques.
Contribution
It provides an overview of recent progress and techniques in applying modulation spaces to nonlinear evolution equations.
Findings
Enhanced understanding of modulation spaces in PDE analysis
New well-posedness results for certain nonlinear equations
Advancements in frequency-uniform localization methods
Abstract
We survey some recent progress on modulation spaces and the well-posedness results for a class of nonlinear evolution equations by using the frequency-uniform localization techniques.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Mathematical Analysis and Transform Methods