We propose a new approach, based on differential inequalities, in order to study travelling wave solutions for a diffusion equation u_t=u_xx+g(u) with g having compact support and positive inside it. We are able to consider any arbitrary continuous non-linear term g; in particular we do not need to assume a linear growth condition on g, even of local type.
A comparison-type approach for travelling fronts / Malaguti, Luisa; C., Marcelli. - STAMPA. - 2:(1999), pp. 1220-1225. (Intervento presentato al convegno Equadiff 99 tenutosi a Berlin, Germany nel 1-7 August, 1999).
A comparison-type approach for travelling fronts
MALAGUTI, Luisa;
1999
Abstract
We propose a new approach, based on differential inequalities, in order to study travelling wave solutions for a diffusion equation u_t=u_xx+g(u) with g having compact support and positive inside it. We are able to consider any arbitrary continuous non-linear term g; in particular we do not need to assume a linear growth condition on g, even of local type.
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