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Flow decomposition for heat equations with memory
- Source :
- Journal de Mathématiques Pures et Appliquées. 158:183-215
- Publication Year :
- 2022
- Publisher :
- Elsevier BV, 2022.
-
Abstract
- 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.
Details
- ISSN :
- 00217824
- Volume :
- 158
- Database :
- OpenAIRE
- Journal :
- Journal de Mathématiques Pures et Appliquées
- Accession number :
- edsair.doi...........ad0b4247b3780da5540c227117a7814f