M. Latorre

activity

20162026

1

-Laplacian with a general singular term and

L^{1}

-data

19 citations · 31 across the 13 of their papers we have counts for

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Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022★ 3 cited

Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez

We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation $\partial_{t} u = Δ u^{m} + ∣ x ∣^{σ} u^{p},$ posed for $(x, t) \in ℜ^{N} \times (0, T)$ , wit…

math.AP2022

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

Marta Latorre, Sergio Segura de León

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;…