Geodesic
On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 49-67

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We consider the first boundary-value problem for quasilinear degenerated $(A, \vec b)$-parabolic equations of divergent form in $Q=\Omega\times(T_1, T_2)$ where $\Omega$ is a bounded domain in $\mathbb R^n$, $n\geqslant1$. Existenceand uniqueness theorems of regular weak solutions for these equations are established. 
@article{ZNSL_1983_127_a2,
     author = {A. V. Ivanov},
     title = {On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {49--67},
     publisher = {mathdoc},
     volume = {127},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/}
}
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A. V. Ivanov. On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 49-67. http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/