Asymptotic behavior for a singular diffusion equation with gradient absorption

We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption $$ \partial_t u-\Delta_{p}u+|\nabla u|^q=0 \quad \hbox{in} \ (0,\infty)\times\real^N, $$ for $p_c:=2N/(N+1)

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Source ISSN: 0022-0396
Author Iagar, Razvan, Gabriel, Laurencot, Philippe
Maintainer CCSD
Last Updated May 14, 2026, 22:21 (UTC)
Created May 14, 2026, 22:21 (UTC)
Identifier hal-00780928
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor "Simion Stoilow" Institute of Mathematics (IMAR) ; Romanian Academy of Sciences
creator Iagar, Razvan, Gabriel
date 2014-05-14T00:00:00
harvest_object_id 4c1cbc34-36e3-4625-a422-0dca7697de8f
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-22T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1301.5984
set_spec type:ART