GLOBAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

摘要

This paper deals with the initial boundary value problem for a higher-order parabolic equation with logarithmic source term ut + (- increment )mu = ur-2uln u . By employing the potential wells technique we show the global existence of the weak solution. Also, we obtain the exponential decay for the weak solutions. 2010 Mathematics Subject Classification: 35B40; 35G31; 35K25