Pointwise estimates of solutions for the nonlinear viscous wave equation in even dimensions

2020 ◽  
Vol 40 (4) ◽  
pp. 1001-1019
Author(s):  
Nianying Li
Keyword(s):  
Wave Equation ◽  
Pointwise Estimates ◽  
Estimates Of Solutions

scholarly journals Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Nianying Li ◽  
Li Yin ◽  
Honglian You
Keyword(s):  
Linear System ◽  
Convergence Rate ◽  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Pointwise Estimates ◽  
Inertial Term ◽  
Estimates Of Solutions ◽  
Hilliard Equation ◽  
Cahn Hilliard Equation

In this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method. Our approach is based on a detailed analysis on the Green’s function of the linear system. And we get the solution’s Lp convergence rate.

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