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Regularity of a Parabolic Differential Equation on Graphs.
- Source :
-
Mathematics (2227-7390) . Nov2023, Vol. 11 Issue 21, p4453. 10p. - Publication Year :
- 2023
-
Abstract
- In this paper, motivated by a biodegradable stent problem, we consider a parabolic differential equation on graphs. This kind of equation describes the stent material degradation in time. Since stents are mesh-like structures with thin struts, they can be modelled using a simple structure called the one-dimensional curved rod model. In this way, we obtain a graph-like domain for our parabolic equation. Here, we prove the regularity estimate for the unique solution of the equation, together with corresponding estimates. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 21
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 173568693
- Full Text :
- https://doi.org/10.3390/math11214453