Parabolic partial differential equations (PDEs) play a pivotal role in modelling processes that involve diffusion and thermal dynamics. Over recent decades, the study of their controllability – the ...
This is a preview. Log in through your library . Abstract We consider non-negative solutions of the heat equation with strong absorption, ∂tu − Δu = uƔχ{u>0} in (0, ∞) × Î©, where Ω is a smooth bounded ...
The initial-boundary value problem for a linear parabolic equation with the Dirichlet boundary condition is solved approximately by applying the finite element discretization in the space dimension ...
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