TY - JOUR
T1 - A Remark on Singular Perturbation Methods via the Lyapunov-Schmidt Reduction
AU - Taniguchi, Masaharu
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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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U2 - 10.2977/prims/1195163593
DO - 10.2977/prims/1195163593
M3 - Article
AN - SCOPUS:85008114427
SN - 0034-5318
VL - 31
SP - 1001
EP - 1010
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 6
ER -