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Showing 1 to 2 of 2 for “"gradient nonlinearity"”.
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Blow-up in a degenerate parabolic equation with gradient nonlinearity
… for degenerate parabolic equations without gradient terms and the forced porous medium equation (see e.g. Galaktionov, Wiegner, Winkler). In particular, for the equation mentioned above in case of kappa = 0 it was proved that the exponent q=p+1 is critical with respect to blow-up. In this …
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Global a priori Estimates and Sharp Existence Results for Quasilinear Equations on Nonsmooth Domains.
… existence results for Quasilinear equations with gradient nonlinearity on the right. The main results are contained in Chapters 3, 4, 5 and 6. In Chapters 3 and 4, we obtain global unweighted a priori estimates for very weak solutions below the natural exponent and weighted estimates at the …