Decay of solutions to an inertial model for a semilinear plate equation with memory
The author considers the initial value problem of an inertial model for a semilinear plate equation with memory in multi-dimensions, which is of regularity-loss property. By using Fourier transform and Laplace transform, he obtains fundamental solutions to the corresponding linear problem and their pointwise estimates in the Fourier space. Appealing to this pointwise estimates, he obtains the global existence and the optimal decay estimates of solutions to the semilinear problem by employing the contraction mapping theorem.
scientific article; zbMATH DE number 6062849
scientific article