Geodesic
Asymptotic behaviour of a transport equation
Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 45-55.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation $u_t + bu_x + cu = a∫_0^{ax} u(t,ax-y)μ(dy)$. We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
DOI : 10.4064/ap-57-1-45-55

Ryszard Rudnicki 1

1 
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Ryszard Rudnicki. Asymptotic behaviour of a transport equation. Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 45-55. doi : 10.4064/ap-57-1-45-55. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-1-45-55/

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