Existence and non-existence of solutions for hard parabolic equations with singular initial data
Descripción del Articulo
We establish the existence, non-existence and uniqueness of the local solutions ofthe Hardy parabolic equationut−∆u=h(t)|·|−γg(u) on Ω×(0,T) with Dirichlet boundaryconditions. We assume that Ω with 0∈Ω is a smooth domain bounded or unbounded,h∈C(0,∞),g∈C([0,∞)) is a non-decreasing function, 0<...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2025 |
| Institución: | Universidad Nacional San Luis Gonzaga de Ica |
| Repositorio: | UNICA-Institucional |
| Lenguaje: | inglés |
| OAI Identifier: | oai:repositorio.unica.edu.pe:20.500.13028/7074 |
| Enlace del recurso: | https://hdl.handle.net/20.500.13028/7074 |
| Nivel de acceso: | acceso abierto |
| Materia: | Matemáticas https://purl.org/pe-repo/ocde/ford#1.01.00 |
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| dc.title.none.fl_str_mv |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| title |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| spellingShingle |
Existence and non-existence of solutions for hard parabolic equations with singular initial data Aparcana, Aldryn Matemáticas https://purl.org/pe-repo/ocde/ford#1.01.00 |
| title_short |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| title_full |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| title_fullStr |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| title_full_unstemmed |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| title_sort |
Existence and non-existence of solutions for hard parabolic equations with singular initial data |
| author |
Aparcana, Aldryn |
| author_facet |
Aparcana, Aldryn Carhuas Torre, Brandon Castillo, Ricardo Loayza, Miguel |
| author_role |
author |
| author2 |
Carhuas Torre, Brandon Castillo, Ricardo Loayza, Miguel |
| author2_role |
author author author |
| dc.contributor.author.fl_str_mv |
Aparcana, Aldryn Carhuas Torre, Brandon Castillo, Ricardo Loayza, Miguel |
| dc.subject.none.fl_str_mv |
Matemáticas |
| topic |
Matemáticas https://purl.org/pe-repo/ocde/ford#1.01.00 |
| dc.subject.ocde.none.fl_str_mv |
https://purl.org/pe-repo/ocde/ford#1.01.00 |
| description |
We establish the existence, non-existence and uniqueness of the local solutions ofthe Hardy parabolic equationut−∆u=h(t)|·|−γg(u) on Ω×(0,T) with Dirichlet boundaryconditions. We assume that Ω with 0∈Ω is a smooth domain bounded or unbounded,h∈C(0,∞),g∈C([0,∞)) is a non-decreasing function, 0< γ <min{2,N}, and the initial datahave a singularity at the origin. |
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2025 |
| dc.date.accessioned.none.fl_str_mv |
2026-01-23T17:51:16Z |
| dc.date.available.none.fl_str_mv |
2026-01-23T17:51:16Z |
| dc.date.issued.fl_str_mv |
2025 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.13028/7074 |
| dc.identifier.doi.none.fl_str_mv |
10.58997/ejde.2025.67 |
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https://hdl.handle.net/20.500.13028/7074 |
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10.58997/ejde.2025.67 |
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eng |
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eng |
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Electronic Journal of Differential Equations |
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urn:issn:15506150 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Texas State University - San Marcos |
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Texas State University - San Marcos |
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reponame:UNICA-Institucional instname:Universidad Nacional San Luis Gonzaga de Ica instacron:UNICA |
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Aparcana, AldrynCarhuas Torre, BrandonCastillo, RicardoLoayza, Miguel2026-01-23T17:51:16Z2026-01-23T17:51:16Z2025https://hdl.handle.net/20.500.13028/707410.58997/ejde.2025.67We establish the existence, non-existence and uniqueness of the local solutions ofthe Hardy parabolic equationut−∆u=h(t)|·|−γg(u) on Ω×(0,T) with Dirichlet boundaryconditions. We assume that Ω with 0∈Ω is a smooth domain bounded or unbounded,h∈C(0,∞),g∈C([0,∞)) is a non-decreasing function, 0< γ <min{2,N}, and the initial datahave a singularity at the origin.Funding text 1: Acknowledgments. This work was partially supported by UNICA (Universidad Nacional San Luis Gonzaga de ICA, Per\u00FA) Res. No.083-VRI-UNICA-2022 (A. Aparcana). The authors want to thank professors Javier Magallanes Yui and Roberto Yactayo for their collaboration in the preparation of the project. B. Carhuas-Torre was supported by CNPq/Brazil - 142441/2020-1. R. Castillo was supported by ANID-FONDECYT - 11220152. M. Loayza was supported by CAPES-PRINT, 88881.311964/2018-01, MATHAMSUD 88881.520205/2020-01, and CNPq Proc. 313382/2023-9.; Funding text 2: This work was partially supported by UNICA (Universidad Nacional San Luis Gonzaga de ICA, Per\u00FA) Res. No.083-VRI-UNICA-2022 (A. Aparcana). The authors want to thank professors Javier Magallanes Yui and Roberto Yactayo for their collaboration in the preparation of the project. B. Carhuas-Torre was supported by CNPq/Brazil-142441/2020-1. R. Castillo was supported by ANID-FONDECYT-11220152. M. Loayza was supported by CAPES-PRINT, 88881.311964/2018-01, MATHAMSUD 88881.520205/2020-01, and CNPq Proc. 313382/2023-9.Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq; (ANID-FONDECYT-11220152, -142441/2020-1); Fondo Nacional de Desarrollo Científico y Tecnológico, FONDECYT, (11220152); Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, CAPES, (88881.520205/2020-01, 313382/2023-9, 88881.311964/2018-01)application/pdfengTexas State University - San MarcosElectronic Journal of Differential Equationsurn:issn:15506150info:eu-repo/semantics/openAccessMatemáticashttps://purl.org/pe-repo/ocde/ford#1.01.00Existence and non-existence of solutions for hard parabolic equations with singular initial datainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:UNICA-Institucionalinstname:Universidad Nacional San Luis Gonzaga de Icainstacron:UNICALICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; charset=utf-81304https://repositorio.unica.edu.pe/bitstreams/5d6a1dd7-c10b-4e7d-97f0-f6473227f02a/downloada6b7515855e84620a14ccccf9daae66dMD51falseAnonymousREADORIGINALExistence and non-existence of solutions for hard parabolic equations with singular initial data.pdfEXISTENCE AND NON-EXISTENCE OF SOLUTIONS FOR HARDYPARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA.pdfapplication/pdf385289https://repositorio.unica.edu.pe/bitstreams/190be45e-c2bb-4591-b5ad-f4cc4c24f16e/downloadda370ee6b463016d43d3af176e2da18fMD52trueAnonymousREADTEXTExistence and non-existence of solutions for hard parabolic equations with singular initial data.pdf.txtWritten by FormatFilter org.dspace.app.mediafilter.TikaTextExtractionFilter on 2026-01-24T02:00:24Z (GMT).Extracted texttext/plain30938https://repositorio.unica.edu.pe/bitstreams/28117e09-2964-4a8a-aa6c-693db88a4a70/download7c2fd32ab4fa7bcdeaee620351985413MD53falseAnonymousREADTHUMBNAILExistence and non-existence of solutions for hard parabolic equations with singular initial data.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.PDFBoxThumbnail on 2026-01-24T02:00:24Z (GMT).Generated Thumbnailimage/jpeg4595https://repositorio.unica.edu.pe/bitstreams/5f1b10b7-807d-4d73-bd89-23cfd69f159d/download80e57e8608daa23a245e6848df9936f6MD54falseAnonymousREAD20.500.13028/7074oai:repositorio.unica.edu.pe:20.500.13028/70742026-01-26T23:56:45.569987Zopen.accesshttps://repositorio.unica.edu.peRepositorio Universidad Nacional San Luis Gonzágarepositorio@unica.edu.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 |
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