Simplified a priori Estimate for the Time Periodic Burgers' Equation
arXiv:1205.0783 · doi:10.3176/proc.2010.1.06
Abstract
We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.