Concepedia

The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity

Wei Yan, Yongsheng Li, Xingyu Yang

Mathematical and Computer Modelling · 2011 · 16 citations · 12 references

DOI

Concepts

References

12

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Jean Bourgain · Geometric and Functional Analysis · 1993 · 1.7K citations

, , +9

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Communications on Pure and Applied Mathematics · 1993 · 1.4K citations

, , +14

A bilinear estimate with applications to the KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1996 · 864 citations · Full text

, , +15

Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

J. Colliander, M. Keel, Gigliola Staffilani et al. · Journal of the American Mathematical Society · 2003 · 554 citations · Full text

, , +17

On the Cauchy Problem for the Generalized Korteweg-de Vries Equation

Luc Molinet, Francis Ribaud · Communications in Partial Differential Equations · 2003 · 529 citations

, , +13