Relative Stability in the Sup-Norm and Input-to-State Stability in the Spatial Sup-Norm for Parabolic PDEs
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DOI: 10.1109/tac.2022.3192325
Abstract: In this article, we introduce the notion of relative $\mathcal {K}$-equi-stability (RKES) to characterize the uniformly continuous dependence of (weak) solutions on external disturbances for nonlinear parabolic partial differential equations (PDEs). Based on the RKES,… read more here.
Keywords: stability; parabolic pdes; sup norm; spatial sup ... See more keywords