Thanks for aksing the query,
Jaw and cheek swelling can be due to ulcerations, can be a symptom of underlying dental issue that is causing infection and abscess
formation in the mouth, growth such as tumors and cheek can also cause cheek and jaw swelling.
I would suggest you to consult to an Oral and Maxillofacial Surgeon and get a checkup done, take an OPG radiograph which will give the exact diagnosis and treatment plan.
Apply Dologel oral ointment topically over the affected area.
Go for symptomatic treatment of lukewarm saline gargles and antiseptic mouthwash rinses.
Take tab paracetomol twice daily for pain relief.
Avoid eating of hot and spicy foodstuffs.
Hope this answers your query,