Journal article
Some remarks on spatial uniformity of solutions of reaction–diffusion PDEs
Nonlinear analysis, Vol.147, pp.125-144
12/2016
DOI: 10.1016/j.na.2016.09.002
Abstract
In this paper, we present a condition which guarantees spatial uniformity for the asymptotic behavior of the solutions of a reaction–diffusion partial differential equation (PDE) with Neumann boundary conditions in one dimension, using the Jacobian matrix of the reaction term and the first Dirichlet eigenvalue of the Laplacian operator on the given spatial domain. The estimates are based on logarithmic norms in non-Hilbert spaces, which allow, in particular for a class of examples of interest in biology, tighter estimates than other previously proposed methods.
Details
- Title: Subtitle
- Some remarks on spatial uniformity of solutions of reaction–diffusion PDEs
- Creators
- Zahra Aminzare - The Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544-1000, USAEduardo D Sontag - Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019, USA
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis, Vol.147, pp.125-144
- DOI
- 10.1016/j.na.2016.09.002
- ISSN
- 0362-546X
- eISSN
- 1873-5215
- Publisher
- Elsevier Ltd
- Grant note
- DOI: 10.13039/100000181, name: AFOSR, award: FA9550-14-1-0060; DOI: 10.13039/100000006, name: ONR, award: 5710003367
- Language
- English
- Date published
- 12/2016
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9983985851802771
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