Concepedia

Global well-posedness for a fifth-order shallow water equation in Sobolev spaces

Xingyu Yang, Yongsheng Li

Journal of Differential Equations · 2010 · 12 citations · 14 references

DOI

Concepts

References

14

An integrable shallow water equation with peaked solitons

Roberto Camassa, Darryl D. Holm · Physical Review Letters · 1993 · 3.7K citations · Full text

, , +13

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

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 weak solutions to a shallow water equation

Zhouping Xin, Ping Zhang · Communications on Pure and Applied Mathematics · 2000 · 535 citations

, , +11

Global Weak Solutions for a Shallow Water Equation

Adrian Constantin, Luc Molinet · Communications in Mathematical Physics · 2000 · 515 citations

, , +6