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Pointwise estimates of solutions for the viscous Cahn-Hilliard equation with inertial term. (English) Zbl 1442.35245

Summary: 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 \(L^p\) convergence rate.

MSC:

35L30 Initial value problems for higher-order hyperbolic equations
35L76 Higher-order semilinear hyperbolic equations
35B45 A priori estimates in context of PDEs
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