Existence and uniqueness of very weak solutions is established for the heat equation with singular anisotropic time-dependent diffusivity.
Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer
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Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
Existence and uniqueness of very weak solutions is established for the heat equation with singular anisotropic time-dependent diffusivity.