Geodesic
Solvability problem for strong-nonlinear nondiagonal parabolic system
Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 131-138

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MR Zbl
A class of $q$-nonlinear parabolic systems with a nondiagonal principal matrix and strong nonlinearities in the gradient is considered.We discuss the global in time solvability results of the classical initial boundary value problems in the case of two spatial variables. The systems with nonlinearities $q\in (1,2)$, $q=2$, $q>2$, are analyzed.
A class of $q$-nonlinear parabolic systems with a nondiagonal principal matrix and strong nonlinearities in the gradient is considered.We discuss the global in time solvability results of the classical initial boundary value problems in the case of two spatial variables. The systems with nonlinearities $q\in (1,2)$, $q=2$, $q>2$, are analyzed.
DOI : 10.21136/MB.2002.134158
Classification : 35K45, 35K50, 35K55, 35K60
Keywords: boundary value problems; nonlinear parabolic systems; solvability 
Arkhipova, A. A. Solvability problem for strong-nonlinear nondiagonal parabolic system. Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 131-138. doi: 10.21136/MB.2002.134158
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