Comparison of estimates for dispersive equations
Michael Ruzhansky, Mitsuru Sugimoto
TL;DR
This paper introduces a new comparison principle for space-time estimates in dispersive equations, enabling better analysis of global smoothing effects across various classes of these equations.
Contribution
A novel comparison principle for space-time estimates in dispersive PDEs, enhancing the analysis of smoothing effects and broadening applicability.
Findings
Established a new comparison principle for dispersive equations
Applied the principle to derive global smoothing estimates
Improved understanding of dispersive PDE behavior
Abstract
This paper describes a new comparison principle that can be used for the comparison of space-time estimates for dispersive equations. In particular, results are applied to the global smoothing estimates for several classes of dispersive partial differential equations.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods · Nonlinear Waves and Solitons