抛物型反问题中的遥远概周期解

Remotely almost periodic solutions of parabolic inverse problems

分析在更广的区域上延拓遥远概周期函数的概念并研究它们的一些性质,证明了抛物型方程解的遥远概周期性,进而证明了一种抛物型方程反问题的遥远概周期解的存在性,且讨论并证明了唯一性和稳定性.

We extend remotely almost periodic functions to a more general setting and investigate their properties. Then we show the remotely almost periodic properties of some parabolic solutions. Thus we verify the existence, uniqueness and stability of remotely almost periodic solutions of parabolic inverse problems.