一类半线性积分微分方程初值问题之整体解的存在性与唯一性

本文运用能量廷拓方法,讨论了一类描述有内部热耗散的杆中热传导问题的半线性积分微分方程初值问题之整体古典解的存在性,并附带证明了该问题之古典解的唯一性。

Initial Value Problem for a Class of Semilinear Integro-Differential Equations

This paper is devoted to studying the initial value problem of a class of semilinear integro-differential equations associated with non-Fourier heat flow in pole. By using the energy estimate method, the author proves that this initial value problem has global classical solution under certain conditions. The uniqueness of the solution is also considered.