关于一广义扩散模型的整体解

ON GLOBAL SOLUTION OF A GENERALIZED DIFFUSION MODEL

本文应用Leray-Schauder不动点原理和Sobolev估计,证明了人口问题中一广义扩散模型的周期边值问题和初值问题整体广义解和整体古典解的存在性和唯一性,以及证明了第一边值问题和其它初边值问题整体广义解的存在性和唯一性.

The existence and the uniqueness of the generalized global solutions and the classical global solutions of the periodic boundary problem and the initial value problem for a generalized diffusion model in population problems and the existence and the uniqueness of the generalized global soiubtions of the first boundary value problem and another initial—boundary value problems are prved by Leray—Schauder's fixed—point argument and Sobolev's estimates.