Global Solvability of the Cauchy–Dirichlet Problem for the Class of Nondiagonal Parabolic Systems with q-Nonlinearity in the Gradient, 1 < q < 2

Author： Arkhipova A. A.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.123, Iss.6, 2004-10, pp. : 4539-4564

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Abstract

The Cauchy–Dirichlet problem for the class of nondiagonal q-nonlinear parabolic systems is studied, 1 < q < 2. In the case of two spatial variables, a solution that is global in time and smooth almost everywhere is constructed. Hausdorff's dimension of the singular set is estimated. Bibliography: 16 titles.

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