A Remark on Singular Perturbation Methods via the Lyapunov-Schmidt Reduction

@inproceedings{Taniguchi2005ARO,
  title={A Remark on Singular Perturbation Methods via the Lyapunov-Schmidt Reduction},
  author={Masaharu Taniguchi},
  year={2005}
}
For some reaction-diffusion equations, Lyapunov-Schmidt reduction was shown to be applicable to construct singularly perturbed equilibrium solutions. For this application, it is indispensable to show that some inverse operator are uniformly bounded. In this paper, we give an elementary proof of this fact. § 

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References

Publications referenced by this paper.
Showing 1-4 of 4 references

Construction and stability analysis of transition layer solutions in reaction-diffusion systems

K. Sakamoto
Tdhoku Math. J., • 1990
View 8 Excerpts
Highly Influenced

Existence and stability of transition layers, Japan

J. K. Hale, K. Sakamoto
J. Appl. Math., • 1988
View 5 Excerpts
Highly Influenced

Point-condensation generated by a reaction-diffusion system in axially symmetric domains, Japan

Ni, W.-M, I. Takagi
J. Indus. Appl. Math., • 1995
View 3 Excerpts
Highly Influenced

Maximal principles in differential equations, Springer-Verlag

M. H. Protter, H. F. Weinberger
1967
View 1 Excerpt