Geodesic
Large time behavior of solutions to a class of doubly nonlinear parabolic equations
Electronic Journal of Differential Equations, Tome 1994 (1994) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation $$u_t={\rm div} (|u|^{m-1}|\nabla u|^{p-2}\nabla u)$$ in a cylinder $\Omega\times R^+$, with initial condition $u(x,0)=u_0(x)$ in $\Omega$ and vanishing on the parabolic boundary $\partial\Omega\times R^+$. Here $\Omega$ is a bounded domain in $R^N$, the exponents m and p satisfy $m+p\geq 3, p greater than 1$, and the initial datum $u_0$ is in $L^1(\Omega)$.
Classification : 35K65, 35K55
Keywords: doubly nonlinear parabolic equations, asymptotic behavior 
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     author = {Manfredi, Juan J. and Vespri, Vincenzo},
     title = {Large time behavior of solutions to a class of doubly nonlinear parabolic equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1994},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1994__1994_2_a0/}
}
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Manfredi, Juan J.; Vespri, Vincenzo. Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Electronic Journal of Differential Equations, Tome 1994 (1994) no. 2. http://geodesic.mathdoc.fr/item/EJDE_1994__1994_2_a0/