Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation
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© 2018 Wuhan Institute of Physics and Mathematics The existence of global weak solutions for a generalized Benjamin-Bona-Mahony-Burgers equation is established in the space C([0,8)×R)nL 8 ([0,8); H 1 (R)) under the condition that its initial value belongs to the space H 1 (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.
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