Preprint
Aug 2026
On generalised d'Alembert-type integral representations for damped wave equations on the quarter-plane
We rigorously construct and verify a posteriori new closed-form solutions for the forced Maxwell-Cattaneo-Vernotte equation (also broadly known as the damped wave equation, hyperbolic heat, and telegrapher's equation on lossy transmission lines) posed on the spatiotemporal quarter-plane with general initial and boundar...
A. Chatziafratis, C. Giorgi, Alain Miranville et al.
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