Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited

dc.contributor.author	Latorre, Marta
dc.contributor.author	Segura de León, Sergio
dc.date.accessioned	2024-04-03T06:34:33Z
dc.date.available	2024-04-03T06:34:33Z
dc.date.issued	2022
dc.identifier.citation	Latorre, 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/s13398-022-01326-1	es
dc.identifier.uri	https://hdl.handle.net/10115/31915
dc.description.abstract	In 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.	es
dc.language.iso	eng	es
dc.subject	Nonlinear parabolic equations	es
dc.subject	1-Laplacian operator	es
dc.subject	Existence	es
dc.subject	Uniqueness	es
dc.title	Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited	es
dc.type	info:eu-repo/semantics/article	es
dc.identifier.doi	10.1007/s13398-022-01326-1	es
dc.rights.accessRights	info:eu-repo/semantics/embargoedAccess	es