Stable multiple-layer stationary solutions of a semilinear parabolic equation in two-dimensional domains
We use $Gamma$--convergence to prove existence of stable multiple--layer stationary solutions (stable patterns) to the reaction--diffusion equation. $$ eqalign{ {partial v_varepsilon over partial t} =& varepsilon^2, hbox{div}, (k_1(x)abla v_varepsilon) + k_2(x)(v_varepsilon -alpha)(Beta-v_va...
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| Format: | Article |
| Language: | English |
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Texas State University
1997-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1997/22/abstr.html |