Geodesic
Asymptotic behaviour of solutions of a semilinear parabolic equation in a cylindrical domain
Sbornik. Mathematics, Tome 195 (2004) no. 2, pp. 287-302

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The asymptotic behaviour as $t\to\infty$ of solutions of a second-order semilinear parabolic equation in a cylindric domain satisfying the homogeneous Neumann boundary conditions at the lateral surface of the domain is described. 
@article{SM_2004_195_2_a5,
     author = {I. V. Filimonova},
     title = {Asymptotic behaviour of solutions of a semilinear parabolic equation in a cylindrical domain},
     journal = {Sbornik. Mathematics},
     pages = {287--302},
     publisher = {mathdoc},
     volume = {195},
     number = {2},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_2_a5/}
}
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I. V. Filimonova. Asymptotic behaviour of solutions of a semilinear parabolic equation in a cylindrical domain. Sbornik. Mathematics, Tome 195 (2004) no. 2, pp. 287-302. http://geodesic.mathdoc.fr/item/SM_2004_195_2_a5/