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- W2023253438 abstract "This paper deals with positive solutions of degenerate and quasilinear parabolic systems not in divergence form: ut=up(Δu+av), vt=vq(Δv+bu), with null Dirichlet boundary conditions and positive initial conditions, where p, q, a and b are all positive constants. The local existence and uniqueness of classical solution are proved. Moreover, it will be proved that all solutions exist globally if and only if ab⩽λ12, where λ1 is the first eigenvalue of −Δ in Ω with homogeneous Dirichlet boundary condition." @default.
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- W2023253438 date "2002-10-01" @default.
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- W2023253438 title "Some degenerate and quasilinear parabolic systems not in divergence form" @default.
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- W2023253438 doi "https://doi.org/10.1016/s0022-247x(02)00347-5" @default.
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