Global Existence of Solutions for the Cauchy Problem of the Kawahara Equation with L2 Initial Data
By S. Cui, D. Deng, S. Tao. 2006
114 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2fa97d1c7ef03a88eef597dd6a7abf0ba19812ab
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
In Mathematical Physics
- R. A. Capistrano–Filho
- Fágner D. Araruna
- Huan Wang
- G. Doronin
- S. Cui
- D. Deng
- Andrei V. Faminskii
- Justin Holmer
In Statistical and Nonlinear Physics
- R. A. Capistrano–Filho
- Fágner D. Araruna
- Huan Wang
- G. Doronin
- S. Cui
- D. Deng
- Andrei V. Faminskii
- Justin Holmer
Citations in the corpus
- INITIAL-BOUNDARY VALUE PROBLEMS FOR QUASILINEAR DISPERSIVE EQUATIONS POSED ON A BOUNDED INTERVAL (2010, background): “high orders was successfully explored by various authors, [4, 15, 16, 21, 31, 41, 44].”
- Energy decay for the modified Kawahara equation posed in a bounded domain (2012, background): “1) is a dispersive PDE describing numerous wave phenomena such as magneto-acoustic waves in a cold plasma [17], the propagation of long waves in a shallow liquid beneath an ice sheet [15], gravity waves on the surface of a heavy liquid [10], etc.”
- Global Existence of Solutions for the Kawahara Equation in Sobolev Spaces of Negative Indices (2007, methodology): “By Theorem 3.1 of [ 12 ] we know that under the hypothesis of this lemma there holds”