Published April 2010
| Version v1
Journal article
Nonlinear stability of travelling wave fronts for delayed reaction diffusion equations
Creators
- 1. Department of Mathematics, Southeast University, Nanjing 210018 (China)
Description
This paper deals with the nonlinear stability of travelling wave fronts for delayed reaction diffusion equations. We prove that the travelling wave fronts are exponentially stable to perturbations in some exponentially weighted L∞ spaces, and obtain the time decay rates of supx∈R|u(x,t)-φ(x+ct)| by the weighted energy estimate
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/23/4/005Additional details
Identifiers
- DOI
- 10.1088/0951-7715/23/4/005;
- PII
- S0951-7715(10)27963-X;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 23
- Journal Issue
- 4
- Journal Page Range
- p. 845-873
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034810
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CALCULATION METHODS; DIFFUSION EQUATIONS; DISTURBANCES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; STABILITY; TRAVELLING WAVES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS