Abstract
A mixed initial-boundary value problem for a nonlocal, hyperbolic equation is analyzed with respect to unique solubility and causality. The regularity of the step response and impulse response (the Green functions) is investigated, and a wave front theorem is proved. The problem arises, e.g., at time-varying, electromagnetic, plane wave excitation of stratified, temporally dispersive, bi-isotropic or anisotropic slabs. Concluding, the problem is uniquely solvable, strict causality holds, and a well-defined wave front speed exists. This speed is independent of dispersion and excitation, and depends on the nondispersive properties of the medium only.
| Original language | English |
|---|---|
| Pages (from-to) | 1373-89 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 57 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1997 |
Subject classification (UKÄ)
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering