In Europe, the mobile TV system was originally going to be DVB-H, requiring totally separate transmission infrastructure, but even though many countries trialled it, few launched services, and apart from some old Nokia mobile phones I don't think much practical hardware was developed.
However the regular DVB-T used for standard OTA broadcasts is 'good enough' in higher power, mainly urban, areas to provide acceptable (to many) mobile reception - and in some countries this can get you many unencrypted OTA services (in some territories a significant number of channels are encrypted for pay-TV though) So there aren't specific and separate broadcasts or feeds for mobile devices, the regular OTA transmission scheme is proving "OK" in many cases, so you can buy DVB-T dongles for your iOS or Android device, or a battery powered Wifi DVB-T receiver (which can be a little bit more practical as it isn't tied to a specific interface or platform - and also allows you to position the receiver separate to your tablet/phone in fringe areas)
However European countries are smaller, and often have more favourable terrain compared to the US, so it isn't a like-for-like comparison of transmission systems - though there's no doubt that harmonising around the DVB standards in Europe (and other areas) has made things a bit easier in DVB territories in some ways.
The BBC have trialled a new mobile system DVB-T2Lite, which allows a regular DVB-T2 transmission to be time-sliced, so that for a percentage of the time it carries a high-bitrate OTA signal aimed at domestic reception with a regular roof-top or decent interior antenna (aerial in the UK...), but for the remaining time it carries a lower-bite rate, more robustly modulated signal aimed at mobile reception. Obviously this removes bandwith from the main OTA signal, but is a solution to the newer higher bitrate modulation schemes (DVB-T2 is running at 40Mbs using 32k 256QAM in 8MHz in the UK for our national HD mux) which may be more difficult to receive on the move.