Gradient estimates for a degenerate parabolic equation with gradient absorption and applications

and V´ eron L, Estimates of solutions of elliptic equa- tions with a source reaction term involving the product of the function and its gradient, Duke Math.. and Yarur

Dao, L ∞ estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms, Nonlinear Analysis, 91 (2013), 121-152.... Bidaut-V´eron,

The large time behaviour of nonnegative solutions to a quasilinear degenerate diffusion equation with a source term depending solely on the gradient is investigated.. After a

We prove that there exists a unique very singular solution of the equation, which has self-similar form and we show the convergence of general solutions with suitable initial

We next turn to the case p = p c and first establish that the solutions to the singular diffusion equation (1.3) with non-negative integrable initial data decay exponentially for

A commonly observed feature of nonnegative solutions to diffusion equations in the whole space R N is their decay to zero as time increases to infinity.. This convergence to zero

[34] Juan Luis V´ azquez, Singular solutions and asymptotic behaviour of nonlinear parabolic equa- tions, International Conference on Differential Equations, Vol. Publ., River Edge,

Recall that a solution to a partial differential equation is usually referred to as a singular solution if it satisfies (1.2), the main examples being the so-called