Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion
Izvestiya. Mathematics , Tome 43 (1994) no. 3, pp. 443-453
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The asymptotics as $t\to\infty$, uniformly with respect to $x\in R_1$, is found for a solution of a model nonlinear nonlocal evolution equation in the case of weak dissipation and dispersion. The leading term of the asymptotics has the same form as for the linearized equation.
@article{IM2_1994_43_3_a2,
author = {P. I. Naumkin and I. A. Shishmarev},
title = {Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion},
journal = {Izvestiya. Mathematics },
pages = {443--453},
publisher = {mathdoc},
volume = {43},
number = {3},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1994_43_3_a2/}
}
TY - JOUR AU - P. I. Naumkin AU - I. A. Shishmarev TI - Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion JO - Izvestiya. Mathematics PY - 1994 SP - 443 EP - 453 VL - 43 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1994_43_3_a2/ LA - en ID - IM2_1994_43_3_a2 ER -
%0 Journal Article %A P. I. Naumkin %A I. A. Shishmarev %T Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion %J Izvestiya. Mathematics %D 1994 %P 443-453 %V 43 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1994_43_3_a2/ %G en %F IM2_1994_43_3_a2
P. I. Naumkin; I. A. Shishmarev. Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion. Izvestiya. Mathematics , Tome 43 (1994) no. 3, pp. 443-453. http://geodesic.mathdoc.fr/item/IM2_1994_43_3_a2/