The global solvability of initial-boundary value problem for nondiagonal parabolic systems
classification
🧮 math.AP
keywords
parabolicnondiagonalsystemsassumecertainclassicalconditionsdivergence
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In this paper we study the quasilinear nondiagonal parabolic type systems. We assume that the principal elliptic operator, which is part of the parabolic system, has a divergence structure. Under certain conditions it is proved the well-posedness of classical solutions, which exist globally in time.
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