一类非线性抛物方程外问题之整体解的存在唯一性

Comm in PDB, 1983, 8(12): 133T^13T4 The Global Existence of the Solutions for Nonlinear Parabolic Equations in Exterior Domains

在直接用能量估计推出一致先验估计的基础上，采取整体迭代法及压缩映像原理，证明了一类带耗散项的非线性抛物方程外初边值问题整体解的存在唯一性，且其存在性与空间维数无关。

Using the energy estimate technique, we obtain the a priori estimate. By the global iterative technique, we prove the the global existence with the fixed point theorem.