一类半线性抛物方程整体解的L^q估计

L^q-estimate of Global Solution of One Kind Semi-linear Parabolic Equation

研究一类带有奇性系数的具有Neumann边界及p指数的半线性抛物方程整体正解的Lq估计。主要使用Moser迭代法进行Lq估计,并且在进行正则化之后,证明了对所有的t≥t0>0、具有低能量初值的整体解是古典解。

It L^q-estimate is studied concerned with global positive solution of one kind of semi-linear parabolic equation with p exponent and Neumann boundary condition and singular coefficient. By using Moser-type iteration, it is then proved that the global positive solutions with lower-energy initial value are classical global solutions for all t≥to〉0.