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Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on $Mathbb{R}$

The author considers semilinear parabolic equations of the form u_t=u_xx+f(u),\quad x\in \mathbb R,t>0, where f a C^1 function. Assuming that 0 and \gamma >0 are constant steady states, the author investigates the large-time behavior of the front-like solutions, that is, solutions u whose init...

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Detalles Bibliográficos
Autor principal: Poláčik, Peter
Lenguaje:eng
Publicado: American Mathematical Society 2020
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2763792