Determination of source terms in diffusion and wave equations by observations after incidents: uniqueness and stability

Jin Cheng, Shuai Lu, Masahiro Yamamoto

We consider a diffusion and a wave equations: $${\partial }_t^{k}u(x,t)=\Delta u(x,t)+\mu (t)f(x),x\in \Omega ,t>0,k=1,2$$ with the zero initial and boundary conditions, where…