A Nonlinear Parabolic Equation with Varying Domain,
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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This document considers a boundary value problem where the basic problem is to understand how new equilibrium solutions may appear for a given nonlinear function f as the domain omega is changed, these new solutions being bifurcations from known equilibrium solutions. For a given cubic function f, an intuitive discussion of this phenomenon was given by HALE, indicating how stable non-constant equilibria appear as secondary rather than primary bifurcations. Additional keywords continuity, perturbations, reprints.
- Numerical Mathematics