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Detalles Bibliográficos
Autores principales: Avetisyan, Zhirayr, Keyshams, Zahra, Nia, Monire Mikaeili, Ruzhansky, Michael
Formato: Preprint
Publicado: 2025
Materias:
Acceso en línea:https://arxiv.org/abs/2507.14411
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  • We investigate the heat equation with a time-dependent, anisotropic, and potentially singular diffusivity tensor. Since weak (in the Sobolev sense) or distributional solutions may not exist in this setting, we employ the framework of very weak solutions to establish the existence and uniqueness of solutions to the heat equation with singular, anisotropic, time-dependent diffusivity.