@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00669365v2> a dcat:Dataset ;
    dct:description """
              Here we study the nonnegative solutions of the viscous Hamilton-Jacobi problem \\[ \\left\\{ \\begin{array} [c]{c}% u_{t}-\\nu\\Delta u+|\\nabla u|^{q}=0,\\\\ u(0)=u_{0}, \\end{array} \\right. \\] in $Q_{\\Omega,T}=\\Omega\\times\\left( 0,T\\right) ,$ where $q>1,\\nu\\geqq 0,T\\in\\left( 0,\\infty\\right] ,$ and $\\Omega=\\mathbb{R}^{N}$ or $\\Omega$ is a smooth bounded domain, and $u_{0}\\in L^{r}(\\Omega),r\\geqq1,$ or $u_{0}% \\in\\mathcal{M}_{b}(\\Omega).$ We show $L^{\\infty}$ decay estimates, valid for \\textit{any weak solution}, \\textit{without any conditions a}s $\\left\\vert x\\right\\vert \\rightarrow\\infty,$ and \\textit{without uniqueness assumptions}. As a consequence we obtain new uniqueness results, when $u_{0}\\in \\mathcal{M}_{b}(\\Omega)$ and $q<(N+2)/(N+1),$ or $u_{0}\\in L^{r}(\\Omega)$ and $q<(N+2r)/(N+r).$ We also extend some decay properties to quasilinear equations of the model type \\[ u_{t}-\\Delta_{p}u+\\left\\vert u\\right\\vert ^{\\lambda-1}u|\\nabla u|^{q}=0 \\] where $p>1,\\lambda\\geqq0,$ and $u$ is a signed solution.
            """ ;
    dct:identifier "hal-00669365" ;
    dct:issued "2026-05-12T04:49:05.154352"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-12T04:49:05.154357"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "$L^{\\infty}$ estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00669365v2/resource/4eceaeb0-c6fe-4931-a341-cfa5f82fc311> ;
    dcat:keyword "35k15-35k55-35b33-35b65-35d30",
        "decay-estimates",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "preprints-working-papers-",
        "quasilinear-parabolic-equations-with-gradient-terms",
        "regularity",
        "regularizing-effects",
        "uniqueness-results",
        "viscous-hamilton-jacobi-equation" ;
    dcat:landingPage <https://hal.science/hal-00669365> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00669365v2/resource/4eceaeb0-c6fe-4931-a341-cfa5f82fc311> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-12T04:49:05.174969"^^xsd:dateTime ;
    dct:modified "2026-05-12T04:49:05.134097"^^xsd:dateTime ;
    dct:title "$L^{\\infty}$ estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms" ;
    dcat:accessURL <https://hal.science/hal-00669365> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00669365> a foaf:Document .