Stability of generalized transition fronts
Publication
, Journal Article
Mellet, A; Nolen, J; Roquejoffre, JM; Ryzhik, L
Published in: Communications in Partial Differential Equations
2009
We study the qualitative properties of the generalized transition fronts for the reaction-diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition fronts are unique up to translation in time and are globally exponentially stable for the solutions of the Cauchy problem. The results hold for reaction rates that have arbitrary spatial variations provided that the rate is uniformly positive and bounded from above. © Taylor & Francis Group, LLC.
Duke Scholars
Published In
Communications in Partial Differential Equations
DOI
ISSN
0360-5302
Publication Date
2009
Volume
34
Issue
6
Start / End Page
521 / 552
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Mellet, A., Nolen, J., Roquejoffre, J. M., & Ryzhik, L. (2009). Stability of generalized transition fronts. Communications in Partial Differential Equations, 34(6), 521–552. https://doi.org/10.1080/03605300902768677
Mellet, A., J. Nolen, J. M. Roquejoffre, and L. Ryzhik. “Stability of generalized transition fronts.” Communications in Partial Differential Equations 34, no. 6 (2009): 521–52. https://doi.org/10.1080/03605300902768677.
Mellet A, Nolen J, Roquejoffre JM, Ryzhik L. Stability of generalized transition fronts. Communications in Partial Differential Equations. 2009;34(6):521–52.
Mellet, A., et al. “Stability of generalized transition fronts.” Communications in Partial Differential Equations, vol. 34, no. 6, 2009, pp. 521–52. Scival, doi:10.1080/03605300902768677.
Mellet A, Nolen J, Roquejoffre JM, Ryzhik L. Stability of generalized transition fronts. Communications in Partial Differential Equations. 2009;34(6):521–552.
Published In
Communications in Partial Differential Equations
DOI
ISSN
0360-5302
Publication Date
2009
Volume
34
Issue
6
Start / End Page
521 / 552
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics