Two boundary flux measurements, at angular separation not a rational multiple of pi, uniquely recover (up to scale) a heat source f(x,t)=p(x)q(t) where q is a step function and p has fractional Sobolev regularity.
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On the identification of source term in the heat equation from sparse data
Two boundary flux measurements, at angular separation not a rational multiple of pi, uniquely recover (up to scale) a heat source f(x,t)=p(x)q(t) where q is a step function and p has fractional Sobolev regularity.