Abstract and Applied Analysis (Jan 2014)
On the L1 Stability to a Generalized Degasperis-Procesi Equation
Abstract
A nonlinear generalized Degasperis-Procesi equation is investigated. Assuming that the strong solution of the equation is bounded in the sense of L∞R-norm and the initial data belong to the space L1(R)∩L2(R), we prove that the solutions are stable in the space L1(R).