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

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source

and Applied Analysis 3 Mu et al. 19 studied the secondary critical exponent for the following p-Laplacian equation with slow decay initial values: ut div ( |∇u|p−2∇u ) u, x, t ∈ R × 0, T , u x, 0 u0 x , x ∈ R, 1.6 where p > 2, q > 1, and showed that, for q > q∗ c p − 1 p/N , there exists a secondary critical exponent ac p/ q 1 − p such that the solution u x, t of 1.6 blows up in finite time for...

a quasilinear parabolic equation with inhomogeneous density and absorption

Decay and Growth for a Nonlinear Parabolic Difference Equation

We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation ut = ∆u+ μ|∇u| when μ < 0, and a new growth result when μ > 0.

An Interior Estimate for a Nonlinear Parabolic Equation

In this paper there are estimated the derivatives of the solution of an initial boundary value problem for a nonlinear uniformly parabolic equation in the interior with the total variation of the boundary data and the L−norm of the initial condition.