Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions

By Zoran Grujic, Henrik Kalisch. Differential and Integral Equations, 2002

74 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c7302a2f454dea4ad4962ec1c2b52ce5be574163

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jerry L. Bona
2. Zoran Grujic
3. Henrik Kalisch
4. David Lannes
5. Jean-Claude Saut

In Mathematical Physics

1. Jerry L. Bona
2. Zoran Grujic
3. Henrik Kalisch
4. Vlad Vicol
5. Igor Kukavica
6. Andrei V. Faminskii

In Statistical and Nonlinear Physics

1. Jerry L. Bona
2. Zoran Grujic
3. Henrik Kalisch
4. Igor Kukavica
5. Vlad Vicol

Citations in the corpus

• Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation (2005, methodology): “If, on the other hand, the initial datum u0 is analytic in a symmetric strip around the real axis, it has recently been established that the solution will retain analyticity in the same least for a small time [10] (see also [11,12]).”
• Lower Bounds on the Radius of Spatial Analyticity for the KdV Equation (2015, unknown): “For short times, it is known that the radius of analyticity remains at least as large as the initial radius (see Grujić and Kalisch [7] for the non-periodic case, and also Li [17], Himonas and Petronilho [10], and Hannah et al.”