The equations governing the growth of a spherical inert-gas bubble in a deformable solid resulting from the generation of gas atoms from time-dependent gas sources in the solid matrix are formulated for the general case which includes the effects of surface tension, heat diffusion and time-varying heat sources in the matrix. The dimensionless parameters controlling bubble dynamics are identified. Asymptotic solutions valid for large times are obtained to predict the radius-time relation, the creep rate, and the rates of heat and gas diffusion. Bubble growth in the absence of temperature gradient is also examined.