Although rare, Osteomyelitis is an infection of the bone, since you mentioned it's in the mandible, which I had with ORN, Osteoradionecrosis. The bone can be infected a number of ways such as during surgery, and other means. Chronic conditions like diabetes can increase risk, as well as weakened immune system, poor blood supply and others, and can be acute or chronic, which the last can be difficult to treat.
Mine was found during CT scanning of the jaw for ORN surgery, one way to remove it, and was placed on antibiotics, Augmentin, once again until I awaited surgery. As mentioned, a biopsy or culture can help determine the orgasm causing the infection, and the appropriate medication prescribed. Antibiotics can be pill firm or by IV that are more potent.
Also helpful is controlling medical conditions like diabetes, adequate nutrition, as mentioned, increase blood supply, oxygenation,,and have read that HBOT is helpful with osteomyelitis, although some doctors, not all, may not advise it until there is a clear scan.
Good luck