Decay estimates for quasi-linear evolution equations

作者：Cherrier Pascal^*; Milani Albert

来源：Bulletin des Sciences Mathematiques, 2011, 135(1): 33-58.

DOI：10.1016/j.bulsci.2010.04.004

• Hyperbolic quasi-linear equation
• Parabolic quasi-linear equation
• A priori estimates
• Global existence
• Asymptotic behavior
• Decay rates estimates

We consider global strong solutions of the quasi-linear evolution equations (1,1) and (1,2) below, corresponding to sufficiently small initial data, and prove some stability estimates, as t -> +infinity, that generalize the corresponding estimates in the linear case.

• 出版日期2011-2