Exponential stabilization and continuous dependence of solutions on initial data in different norms for space-time-varying linear parabolic PDEs

Qiaoling Chen, Jun Zheng, Guchuan Zhu

For an arbitrary parameter $p\in [1,+\infty ]$, we consider the problem of exponential stabilization in the spatial $L^p$-norm, and $W^{1,p}$-norm, respectively, for a class of an…