Identification of q ( x ) in u t = ∆ u − qu from boundary observations 1
نویسندگان
چکیده
We consider the problem of recovering the coefficient q(x) in the equation ut = ∆u− qu from boundary observations. Uniqueness of q based on knowledge of the ‘Neumann 7→Dirichlet response operator’ is shown as an implication of (known) corresponding results concerning the inverse problem for the corresponding hyperbolic equation wtt = ∆w − qw. This is then reduced to use of the response to a single input with some consideration of computational approximation.
منابع مشابه
From Boundary Observations 1
We consider the problem of recovering the coeecient q(x) in the equation u t = u ? qu from boundary observations. Uniqueness of q based on knowledge of thèNeumann 7 !Dirichlet response operator' is shown as an implication of (known) corresponding results concerning the inverse problem for the corresponding hyperbolic equation w tt = w ? qw. This is then reduced to use of the response to a singl...
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