TY - JOUR
T1 - On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback
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 - <p>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.</p>