论文标题
非本地时间半线性热方程的强大解决方案
Strong Solutions to a Nonlocal-in-Time Semilinear Heat Equation
论文作者
论文摘要
显示了非局部半线性热方程的强溶液的存在。等式的主要特征是非局部项取决于存在的整个时间间隔，后者是先验的。证明依赖于舒德的固定点定理和半群理论。
Existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time interval of existence, the latter being given a priori. The proof relies on Schauder's fixed point theorem and semigroup theory.
