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A remark on stable subharmonic solutions of time-periodic reaction–diffusion equations
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2003, Vol. 286 Issue 2, p795. 9p. - Publication Year :
- 2003
-
Abstract
- This paper is concerned with a time-periodic reaction–diffusion equation. It is known that typical trajectories approach periodic solutions with possibly longer period than that of the equation. Such solutions are called subharmonic solutions. In this paper, for any domain <f>Ω</f>, time-period <f>τ>0</f> and integer <f>n&ges;2</f>, we construct an example of a time-periodic reaction–diffusion equation on <f>Ω</f> with a minimal period <f>τ</f> which possesses a stable solution of minimal period <f>nτ</f>. [Copyright &y& Elsevier]
- Subjects :
- *REACTION-diffusion equations
*SUBHARMONIC functions
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 286
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 10984681
- Full Text :
- https://doi.org/10.1016/S0022-247X(03)00538-9