Abstract: For abating odor and smoke emissions from e.g., a fast food restaurant broiling grill, the grilling is conducted using (a) higher temperature radiating surfaces such as thinner ceramic briquettes in order to incinerate more potential emissions at the source, (b) an oxidizer/water scrubber in the exhaust gas stream, and/or (c) blower means for mixing the exhaust gas stream with ambient air prior to discharge of the exhaust gas stream. The preferred oxidizer is hydrogen peroxide. The temperature of the radiating surfaces facing the food being cooked is preferably between 600.degree. and 800.degree. F. And the material bearing the radiating surfaces is preferably about one-half inch thick. The oxidizer may be operated in response to signalling from an automated smoke or odor detection device. The exhaust gas/ambient air mixing device is most useful when the grain loading of the exhaust gas stream is less than 0.03 (GR/DSCF).