Determination of a control parameter in the two-dimensional diffusion equation

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Determination of a control function in three‐dimensional parabolic equations by Legendre pseudospectral method (2012, unknown): “[19, 22] Consider problem (1)–(9) when tf = 1 and the functions u(x, y, z, t) = exp(t)sin(1/4 π (x + 2y + 3z)), p(t) = 1 + 10t .”
On the problem of determining the parameter of an elliptic equation in a Banach space (2014, background): “It is important that several inverse problems of determining the parameter of partial differential equations can be reduced to nonlocal boundary value problems for partial differential equations (see [1–11] and the literature cited therein).”