TY - JOUR T1 - On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback AU - Chaohua Jia JO - Journal of Partial Differential Equations VL - 2 SP - 194 EP - 202 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/5228.html KW - Burgers equation KW - nonlocal boundary KW - maximum principle AB -
In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.