一类非线性热传导方程整体经典解的研究

Global Classical Solutions for Nonlinear Heat Conduction Equations of the Same Class

给出一类非线性热传导方程具小初值的Ｃａｕｃｈｙ问题整体经典解的存在唯一性及ｔ→∞时解具有一定的衰减性．

xistence and uniqueness of its global classical solutions are proved for nonlinear heat con-duction equations with small initial values.It is also showed that the solutions tend to decay in a way when t→∞.