Xiomara Sesibel Fajardo De Lopez, 36
Authorities are looking for her husband,Carlos Anibal Lopez, also 36, Los Angeles police said Saturday.
Police say Lopez got into an argument with her husband shortly before noon, he then picked up a handgun and fired several rounds, striking his wife.
The couple's three children were present during the incident, and their 11-year-old son was shot, police say.
The boy was reportedly in stable condition at a hospital. His mother died at the scene, according to Los Angeles Fire Department paramedics.
Police say Carlos Anibal Lopez left in a white Toyota Corolla. The car and a handgun were found a short time later.
Anyone with information about the case is asked to call Det. Dave Garrido at (213) 485-1383, or a toll-free, 24-hour hot line, (877) LAPD-24-7.
-- Jean Merl