Geodesic
Weak solutions for a viscous \(p\)-Laplacian equation
Electronic journal of differential equations, Tome 2003 (2003)
In this paper, we consider the pseudo-parabolic equation $ u_t-k\Delta u_t=\mathop{\rm div}(|\nabla u|^{p-2}\nabla u)$. By using the time-discrete method, we establish the existence of weak solutions, and also discuss the uniqueness.
Classification : 35G25, 35Q99, 35K55, 35K70
Keywords: pseudo-parabolic equations, existence, uniqueness 
@article{EJDE_2003__2003__a91,
     author = {Liu,  Changchun},
     title = {Weak solutions for a viscous {\(p\)-Laplacian} equation},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1036.35145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a91/}
}
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%J Electronic journal of differential equations
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Liu,  Changchun. Weak solutions for a viscous \(p\)-Laplacian equation. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a91/