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u= ∆u+f(u)inΩ×[0,T],u(x,0) = 0 in Ω,u(x,t)=g(x,t)on∂Ω×[0,T].(1.1)It is well known that for smooth function f, Eq. (1.1) has a unique clas-sical solution, which we denote by u(f), provided the data gis sucientlyregular and satises compatibility conditions.In our case the nonlinear source term fis assumed to be unknown, sothat additional information is needed to determine this function.In this paper, we consider either a one-point interior measurement(1.2) u(f)(x

UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS