@trevwhite - a 100uF elko somewhere on the board should provide sufficient damping. If you want to check for sure just probe the power supply rails to the Class D controller IC with your scope set to AC coupling. Which reminds me... Class D has no intrinsic ability to reject noise on the power supply rails*, so a clean and well-regulated supply is a lot more important than for, say, a Class AB (or, especially, a Class A) amplifier.
@calexanian - the component values are, indeed, similar to what is commonly used for a Zobel Network, but in this case the RC is across the 12V supply rail and ground.
* - a feedback loop around the Class D modulator - which is not always present or used, btw - will improve the PSRR immensely, of course, just as it would with any other kind of amplifier.