The second-order parabolic PDEs with singular coefficients and applications
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1766983
Abstract: Abstract The goal of this paper is to establish the Lipschitz and estimates for a second-order parabolic PDE on with zero initial data and f satisfying a Ladyzhenskaya–Prodi–Serrin type condition. Following the theoretic result, we… read more here.
Keywords: order parabolic; applications second; second order; parabolic pdes ... See more keywords
Fredholm Backstepping Control of Coupled Linear Parabolic PDEs With Input and Output Delays
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DOI: 10.1109/tac.2019.2945035
Abstract: This paper considers the observer-based output feedback stabilization of coupled parabolic PDEs with spatially-varying coefficients and different diffusion coefficients subject to distinct constant input and output delays. By representing the delays in the form of… read more here.
Keywords: pde; input output; parabolic pdes; output ... See more keywords
Relative Stability in the Sup-Norm and Input-to-State Stability in the Spatial Sup-Norm for Parabolic PDEs
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
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
Efficient Technique for Solving (3+1)-D Fourth-Order Parabolic PDEs with Time-Fractional Derivatives
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DOI: 10.3390/axioms12040347
Abstract: In this presented research, a hybrid technique is proposed for solving fourth-order (3+1)-D parabolic PDEs with time-fractional derivatives. For this purpose, we utilized the Elzaki integral transform with the coupling of the homotopy perturbation method… read more here.
Keywords: parabolic pdes; pdes time; time fractional; solving fourth ... See more keywords