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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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