Geodesic
On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 34-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Caushy–Dirichlet problem for a class of nondiagonal $q$-nonlinear parabolic systems is studied, $1. In the case of two spatial variables, we constract a solution which is global in time and smooth almost everywhere. Hausdorff's dimension of the singular set is estimated. 
@article{ZNSL_2002_288_a2,
     author = {A. A. Arkhipova},
     title = {On global solvability of the {Caushy{\textendash}Dirichlet} problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {34--78},
     year = {2002},
     volume = {288},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a2/}
}
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%A A. A. Arkhipova
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A. A. Arkhipova. On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1