Flow decomposition for heat equations with memory

Wang G, Zhang Y, Zuazua Iriondo E (2021)

Publication Language: English

Publication Status: Submitted

Publication Type: Journal article, Original article

Future Publication Type: Journal article

Publication year: 2021


URI: https://www.sciencedirect.com/science/article/pii/S0021782421001665

DOI: 10.1016/j.matpur.2021.11.005

Open Access Link: https://www.sciencedirect.com/science/article/abs/pii/S0021782421001665


We build up a decomposition for the flow generated by the heat equation with a real analytic memory kernel. It consists of three components: The first one is of parabolic nature; the second one gathers the hyperbolic component of the dynamics, with null velocity of propagation; the last one exhibits a finite smoothing effect. This decomposition reveals the hybrid parabolic-hyperbolic nature of the flow and clearly illustrates the significant impact of the memory term on the parabolic behavior of the system in the absence of memory terms.

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Wang, G., Zhang, Y., & Zuazua Iriondo, E. (2021). Flow decomposition for heat equations with memory. Journal De Mathematiques Pures Et Appliquees. https://doi.org/10.1016/j.matpur.2021.11.005


Wang, Gengsheng, Yubiao Zhang, and Enrique Zuazua Iriondo. "Flow decomposition for heat equations with memory." Journal De Mathematiques Pures Et Appliquees (2021).

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