Abstract
A kind of partially dissipative quasilinear hyperbolic systems in which a part of equations possesses the strict dissipation and the others are weakly linearly degenerate are discussed. Under some weaker hypotheses on the interactions between two parts of equations, it is proved that for any given initial data with small W1,1 and C1 norms, the corresponding Cauchy problem admits a unique C1 global classical solution. Copyright © 2012 John Wiley & Sons, Ltd.
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