JournalsprimsVol. 31, No. 6pp. 1001–1010

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

  • Masaharu Taniguchi

    Kyoto University, Japan
A Remark on Singular Perturbation Methods via the Lyapunov-Schmidt Reduction cover

Abstract

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.

Cite this article

Masaharu Taniguchi, A Remark on Singular Perturbation Methods via the Lyapunov-Schmidt Reduction. Publ. Res. Inst. Math. Sci. 31 (1995), no. 6, pp. 1001–1010

DOI 10.2977/PRIMS/1195163593