The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition

Asymptotic Behavior and Stability of Solutions of Semilinear Diffusion Equations

Hiroshi Matano · Publications of the Research Institute for Mathematical Sciences · 1979 · 375 citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

Potential and scattering theory on wildly perturbed domains

Jeffrey Rauch, Michael E. Taylor · Journal of Functional Analysis · 1975 · 290 citations

Natural Sciences, Mathematics, Physics +12

Collapsing of Riemannian manifolds and eigenvalues of Laplace operator

Kenji Fukaya · Inventiones mathematicae · 1987 · 252 citations

Natural Sciences, Geophysics, Dynamical Systems +11

Pattern Formation in Competition-Diffusion Systems in Nonconvex Domains

Hiroshi Matano, Masayasu Mimura · Publications of the Research Institute for Mathematical Sciences · 1983 · 166 citations

Natural Sciences, Systems Engineering, Complex Systems +12

Scattering frequencies of resonators

J. Thomas Beale · Communications on Pure and Applied Mathematics · 1973 · 115 citations

Natural Sciences, Electrical Engineering, Physics +8