一般非线性扩散方程Cauchy问题广义解的渐近性质

THE ASYMPTOTIC PROPERTY OF GENERALIZED SOLUTIONS TO CAUCHY PROBLEM FOR GENERAL NONLINEAR DIFFUSION EQUATIONS

本文研究了比较一般的非线性扩散方程的Cauchy问题广义解的渐近性质.利用试验函数与积分估计的方法,获得了广义解当t→∞时的渐近性质以及其广义整体解u(x,t),推广了该类方程Cauchy问题广义解的性质.

This article studies the asymptotic property of generalized solutions to Cauchy problem for general nonlinear diffusion equations as t→∞. By using test function and integral estimates, we obtain its global generalized solution u（x,t） and promote the property of the generalized solution of the Cauchy problem of such equations.