On stationary solutions with transition layers for a bistable reaction diffusion equation

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概要

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• In this report we consider boundary value problem of stationary problem for some bistable reaction diffusion equations : -ε^2Δu=f(x, u). The equation involves a small parameter ε as a diffusion constant and involves reaction term f has property called bistable. If the reaction term f is spacially homogeneous, a nonconstant stable stationary solution does not exists [8]. However if f becomes spacially inhomogeneous, a nonconstant stable solutions may appear. In this report, we construct stationary solutions with sharp transition layers for sufficiently small ε > 0. In section 1, we consider the problem when f has a property called balanced bistable. In secton 2, we consider the problem when f has a property called unbalanced bistable.

• 沼津工業高等専門学校の論文
• 2007-01-31

著者

• Matsuzawa Hiroshi

  Division Of Liberal Arts Numazu National College Of Technology

関連論文

• On stationary solutions with transition layers for a bistable reaction diffusion equation

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