Global low-regularity solutions for Kadomtsev-Petviashvili equation

By N. Tzvetkov. Differential and Integral Equations, 2000

63 citations recorded by the source corpus.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e11dc517f0ee46d61c3bbb020d995ba84779cdd9

How researchers see this paper

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

In Mathematical Physics

1. Pedro Isaza
2. J. Mejía
3. Jean-Claude Saut
4. Nikolay Tzvetkov

In Nuclear and High Energy Physics

1. Pedro Isaza
2. J. Mejía

In Statistical and Nonlinear Physics

1. Pedro Isaza
2. J. Mejía
3. Nikolay Tzvetkov
4. Jean-Claude Saut

Citations in the corpus

• Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$ (2001, unknown): “Subsequently, Bourgain’s high/low trick has been applied to prove global well-posedness below the natural regularity of the conserved quantity in various settings [17], [24], [25], [43], [41], [29], including KdV [15] on the line.”
• LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES (2001, methodology): “Following the ideas developed in [9] and [10], in this article we prove that problem (0.”