带耗散项的广义BBM方程Cauchy问题

On the Cauchy Problem for Generalized BBM Equation with Dissipative Term

本文证明了带耗散项的广义BBM方程Cauchy问题■在C([0,∞),H^s(R))(s≥2)中解的存在性和唯一性,并证明了解在‖·‖_■范数意义下的稳定性.

In this paper is proved the existence and uniqueness of Cauchy problem for the following generalized BBM equation in C([0,∞), H^s(R)) (s≥2): and is discussed the stability in the sense of norm||·||s.