Geodesic
Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent
Razvan Gabriel Iagar1 ; Philippe Laurençot2 orcid ; Juan Luis Vázquez1
1Universidad Autónoma de Madrid, Spain
2Université de Toulouse, Toulouse, France
Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 271-295

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DOI

We study the large-time behaviour of solutions of the evolution equation involving nonlinear diffusion and gradient absorption,
DOI : 10.4171/ifb/258
Classification : 35-XX, 49-XX, 00-XX
Mots-clés : Nonlinear parabolic equations; <i>p</i>-Laplacian equation; gradient absorption; asymptotic patterns; Hamilton–Jacobi equation; viscosity solutions

Razvan Gabriel Iagar  1   ; Philippe Laurençot  2   ; Juan Luis Vázquez  1

1 Universidad Autónoma de Madrid, Spain
2 Université de Toulouse, Toulouse, France 
Razvan Gabriel Iagar; Philippe Laurençot; Juan Luis Vázquez. Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent. Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 271-295. doi: 10.4171/ifb/258
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     author = {Razvan Gabriel Iagar and Philippe Lauren\c{c}ot and Juan Luis V\'azquez},
     title = {Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent},
     journal = {Interfaces and free boundaries},
     pages = {271--295},
     year = {2011},
     volume = {13},
     number = {2},
     doi = {10.4171/ifb/258},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/258/}
}
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