Stable equilibria of a singularly perturbed reaction–diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface-Reference-Cited by-同舟云学术

Stable equilibria of a singularly perturbed reaction–diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface

Published:2015-11-26 Issue:2 Volume:16 Page:317-339
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

do Nascimento Arnaldo Simal,Sônego Maicon

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s00028-015-0304-4.pdf

Reference24 articles.

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2. Butuzov V. F., Nefedov N. N., Schneider K. R.: Singularly perturbed elliptic problems in the case of exchange of stabilities. J. Differ. Equations, 169, 373–395 (2001)

3. Butuzov V. F.: On the stability and domain of attraction of asymptotically non-smooth stationary solutions to a singularly perturbed parabolic equation. Computational Mathematics and Mathematical Physics, 46, 413–424 (2006)

4. Butuzov, V. F., Nefedov, N. N.: Schneider, K. R.: Singularly perturbed problems in case of exchange of stabilities, Journal of Mathematical Sciences, 121 No. 1, 1973–2079 (2004).

5. Consul, N., Sola-Morales, J.: Stability of local minima and stable nonconstant equilibria, J. Differ. Equations, 157, 61–81 (1999).

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