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math.AP2007★ 2 cited
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
Jean-Philippe Bartier, Philippe Laurençot
Qualitative properties of non-negative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown, providing inform…
math.AP2005★ 1 cited
Convex Sobolev inequalities and spectral gap
Jean Dolbeault, Jean-Philippe Bartier
This note is devoted to the proof of convex Sobolev (or generalized Poincaré) inequalities which interpolate between spectral gap (or Poincaré) inequalities and logarithmic Sobolev…