Article ID Journal Published Year Pages File Type
4629845 Applied Mathematics and Computation 2012 11 Pages PDF
Abstract
A shallow water equation including the Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. Provided that initial value u0∈H1(R),u0∈L1(R), and (1-∂x2)u0 does not change sign, the existence and uniqueness of global weak solution for the equation are established.
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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
On existence and uniqueness of the global weak solution for a shallow water equation
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