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Numerical results
on existence and stability of steady state solutions for the
reaction-diffusion and Klein–Gordon equations
Miles Aron, Peter Bowers, Nicole Byer, Robert Decker, Aslihan Demirkaya and Jun Hwan Ryu
Vol. 7 (2014), No. 6, 723–742
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Abstract |
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In this paper, we study numerically the existence and stability of the steady state solutions of the reaction-diffusion equation, , and the Klein–Gordon equation, , with the boundary conditions: . We show that as varies, the number of steady state solutions and their stability change. |
Keywords
reaction-diffusion, Klein–Gordon equation, stability,
steady state solutions
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Mathematical Subject Classification 2010
Primary: 35B30, 35B32, 35B35, 35K57, 35L71
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Milestones
Received: 5 December 2012
Revised: 29 October 2013
Accepted: 5 November 2013
Published: 20 October 2014
Communicated by John Baxley
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Authors |
| Miles Aron | |
| University of Zurich Sonneggstrasse 23 CH-8006 Zurich Switzerland |
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| Peter Bowers | |
| Harvard University 230 Chestnut Street Cambridge, MA 02139 United States |
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| Nicole Byer | |
| Brown University 45 Prospect Street Providence, RI 02912 United States |
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| Robert Decker | |
| University of Hartford 200 Bloomfield Ave West Hartford, CT 06117 United States |
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| Aslihan Demirkaya | |
| University of Hartford Dano Hall 210 200 Bloomfield Ave West Hartford, CT 06117 United States |
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| Jun Hwan Ryu | |
| Yale University 206 Elm Street #205495 New Haven, CT 06520-5495 United States |
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