Space-time estimates on damped fractional wave equation
Summary: We obtain space-time estimates on the solution \(u(t, x)\) to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation. The almost everywhere convergence of the solution to linear equations as \(t \rightarrow 0^+\) is also studied, with the initial data satisfying certain regularity conditions.
scientific article; zbMATH DE number 7022376
scientific article