Single quantum well InGaN was grown by molecular beam epitaxy with ammonia as the nitrogen source. The samples were grown on (0001) sapphire substrates. The photoluminescence (PL) intensity of InGaN quantum wells showed band-edge emissions at 2.71eV at low temperature (10 K). PL was investigated as a function of excitation intensity and temperature. The relationship between PL intensity and excitation intensity, as well as the relationship between PL intensity and lattice temperature was studied. Also studied was the combined effect of temperature and intensity variation. Detailed results are reported here.