Why EM wave equation does not conform to relativity?
This question is not about real electromagnetic wave. Physical wave does not violate relativity principle and always travel at constant speed c. It is the electromagnetic wave equation that does not conform to relativity. By computing the speed of the solution of the wave equation, we find that its velocity is faster than that of light and varies with distance and frequency. This result proves that the wave equation does not faithfully describe the physical phenomenon of electromagnetic wave.
A rigorous mathematical proof is given.
Please read the following document
Why EM wave equation does not conform to relativity?
http://pengkuanem.blogspot.com/2012/08/why-em-wave-equation-does-not-conform.html