Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic

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dc.contributor.authorBenedikt, Jiří
dc.contributor.authorPůlpán, Jan
dc.date.accessioned2025-06-20T08:31:24Z
dc.date.available2025-06-20T08:31:24Z
dc.date.issued2023
dc.date.updated2025-06-20T08:31:24Z
dc.description.abstractWe present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian. To control all possible errors including the rounding errors of the computer arithmetic, we use the interval arithmetic. We implement our algorithm in the Julia programming language using IntervalArithmetic.jl package.en
dc.format14
dc.identifier.document-number001088128700004
dc.identifier.doi10.58997/ejde.sp.02.b3
dc.identifier.issn1072-6691
dc.identifier.obd43939403
dc.identifier.orcidBenedikt, Jiří 0000-0001-9529-1215
dc.identifier.urihttp://hdl.handle.net/11025/60055
dc.language.isoen
dc.project.IDGA22-18261S
dc.relation.ispartofseriesElectronic Journal of Differential Equations
dc.rights.accessA
dc.subjectquasilinear equationen
dc.subjectp-Laplacianen
dc.subjectprincipal eigenvalueen
dc.subjectinterval arithmeticen
dc.titleNumeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmeticen
dc.typeČlánek v databázi WoS (Jimp)
dc.typeČLÁNEK
dc.type.statusPublished Version
local.files.count1*
local.files.size517657*
local.has.filesyes*
local.identifier.eid2-s2.0-85165973921

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