Existence and uniqueness of very weak solutions is established for the heat equation with singular anisotropic time-dependent diffusivity.
Schwartz.Sur limpossibilite de la multiplication des distributionsComptes Rendus Hebdomadaires des Seances de L Academie des Sciences, 239 (15), 1954, pages 847–848
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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.