L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

Abstract

Abstract In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞ $L^{\infty }$ decay estimates of weak solutiona.

Keywords

• Doubly nonlinear equation
• Degenerate evolution m-Laplacian equation
• L ∞ $L^{\infty }$ decay estimates of solution