Embodiments relate to an exhaust gas after-treatment device with an exhaust line having an inlet for discharging the exhaust gas and a thermal reactor, which is arranged in the exhaust line and has a first, thermal reaction zone for the exhaust gas flow, where a mixing device is provided for admixing a reducing agent to the exhaust gas flow in the exhaust line, which is arranged between the inlet and the thermal reactor and where the thermal reactor has at least one second reaction zone for a catalytic reaction in the exhaust gas flow with the involvement of the reducing agent.