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.
|Number of pages
|Publications of the Research Institute for Mathematical Sciences
|Published - 1995
ASJC Scopus subject areas
- General Mathematics