Spatial decay estimates for the hyperbolic heat equation. (English) Zbl 1149.35322
Summary: This paper is concerned with investigating the spatial decay estimates for linear damped hyperbolic equations
\[ u_t(x_1,x',0)=0 \]
in the space-time region \(\Omega\times (0,\infty)\) where \(\Omega\) is the semi-infinite prismatic cylinder.
\[ u_t(x_1,x',0)=0 \]
in the space-time region \(\Omega\times (0,\infty)\) where \(\Omega\) is the semi-infinite prismatic cylinder.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
