Latorre, MartaSegura de León, Sergio2024-04-032024-04-032022Latorre, M., Segura de León, S. Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 185 (2022). https://doi.org/10.1007/s13398-022-01326-1https://hdl.handle.net/10115/31915In this paper we deal with an inhomogeneous parabolic Dirichlet problem involving the 1-Laplacian operator. We show the existence of a unique solution when data belong to L^1(0,T;L^2(\Omega)) for every T>0. As a consequence, global existence and uniqueness for data in L^1_{loc}(0,+\infty;L^2(\Omega)) is obtained. Our analysis retrieves previous results in a correct and complete way.engNonlinear parabolic equations1-Laplacian operatorExistenceUniquenessinfo:eu-repo/semantics/article10.1007/s13398-022-01326-1info:eu-repo/semantics/embargoedAccess