GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

doi:10.1016/S0252-9602(18)30792-6

Abstract

Abstract:

The existence of global weak solutions for a generalized Benjamin-Bona-MahonyBurgers equation is established in the space C([0, ∞)×R) ∩ L^∞([0, ∞); H¹(R)) under the condition that its initial value belongs to the space H¹(R). A one-sided super bound estimate and a space-time higher-norm estimate on the first order derivatives of the solution with respect to the space variable are derived to prove the existence.

Key words: Generalized Benjamin-Bona-Mahony-Burgers equation, global weak solution, weak limits

Rui LI, Chong LAI, Yonghong WU. GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION[J].Acta mathematica scientia,Series B, 2018, 38(3): 915-925.

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