具非线性阻尼的拟线性双曲型方程

QUASILINEAR BYPERBOLIC EQUATIONS WITH NONLINEAR DAMPING

本文讨论了来自于神经传播和具粘性效应的杆的纵振动问题的一类具非线性阻尼的拟线性双曲型方程的初边值问题解的存在唯一性．所用的方法是能量估计和Ｐａｚｙ的半解方法．

This paper considers the existence and uniqueness of the solution or initial bovndary ralue puoblem or a class of quasilinear hyperbolic equations from nerves propagation and string vibration. The methods be used here is energy estimate and pazy's analytic semigroup theory.