Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation

By Jerry L. Bona, Zoran Grujic, Henrik Kalisch. 2005

108 citations recorded by the source corpus.

Subfields: Mathematical Physics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d6d793dc380486c0a9ab18ec878baf550be5ad15

How researchers see this paper

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In Mathematical Physics

1. Vlad Vicol
2. Igor Kukavica
3. Nader Masmoudi
4. Jacob Bedrossian
5. Davdi Gerard-Varet
6. Peter Constantin
7. Maria Colombo
8. T. Buckmaster

In Numerical Analysis

1. Vlad Vicol
2. Igor Kukavica
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4. Nader Masmoudi
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In Statistical and Nonlinear Physics

1. Igor Kukavica
2. Vlad Vicol

Citations in the corpus

• Lower Bounds on the Radius of Spatial Analyticity for the KdV Equation (2015, unknown): “[2], where it was shown that the radius of analyticity for the KdV equation can decay no faster than t−12 as t → ∞ (see Theorem 4 and Corollary 2 in [2]).”
• The Domain of Analyticity of Solutions to the Three-Dimensional Euler Equations in a Half Space (2010, methodology): “Explicit and even algebraic lower bounds for the radius of analyticity for dispersive equations were obtained by Bona, Grujić, and Kalisch in [9, 10] (see also [8, 11]).”