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T1 - Recovering an unknown source in a fractional diffusion problem
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UR - http://hdl.handle.net/10138/314608
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A1 - Rundell, William; Zhang, Zhidong
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Y1 - 2018
LA - eng
AB - Abstract A standard inverse problem is to determine a source which is supported in an unknown domain D from external boundary measurements. Here we consider the case of a time-independent situation where the source is equal to unity in an unknown subdomain D of a larger given domain Ω and the boundary of D has the star-like shape, i.e. ∂ D = { q ( θ ) ( cos θ , sin θ ) ⊤ : θ ∈ [ 0 , 2 π ] } . Overposed measurements consist of time traces of the solution or its flux values on a set of discret...
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KW - Fractional diffusion equation; Inverse problem; Uniqueness; Unknown discontinuous source; Newton's method; Tikhonov regularization; EQUATIONS; 114 Physical sciences; 111 Mathematics
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