Abstract
Using the Kato theorem for abstract differential equations, the local well-posedness of the solution for a nonlinear dissipative Camassa-Holm equation is established in space with . In addition, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space with is developed.
Citation
Shaoyong Lai. "The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-HolmEquation." Abstr. Appl. Anal. 2011 (SI1) 1 - 15, 2011. https://doi.org/10.1155/2011/285040
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