Extinction and positivity for the evolution -Laplacian equation in

Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source

“…Extinction phenomenon, as one of the most remarkable properties that distinguish nonlinear parabolic problems from the linear ones, attracted extensive attentions of mathematicians in the past few decades (see [5][6][7][8][9][10][11][12][13][14][15][16] and the references therein). Especially, many authors devoted to concern with the extinction behavior of the following parabolic problem…”

Extinction and Non-Extinction of Solutions to a P-Laplace Equation With a Nonlocal Source and an Absorption Term

“…when r = 1, the problem is much more challenging and there is no result in this direction. For more works concerning the extinction phenomenon of solutions of fast diffusion equations, readers may refer to [11,12,16,19,22,23,25].…”

Instantaneous shrinking and extinction for a non-Newtonian polytropic filtration equation with orientated convection

“…and obtained sufficient conditions for instantaneous shrinking and extinction properties of supports along a fixed direction α ∈ R N , which can be thought of as some variants of those for one dimensional case. After that, in 2005, Yuan et al [17] discussed the extinction and positivity for solutions of the initial boundary value problem of evolutionary p-Laplacian equation in R N ∂u ∂t = div(|∇u| p−2 ∇u).…”