0000000000217457

AUTHOR

Khanh Ngoc Nguyen

showing 3 related works from this author

Trace Operators on Regular Trees

2020

Abstract We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.

QA299.6-433Regular treeApplied Mathematics010102 general mathematicsnewtonian space01 natural sciencesAlgebraTrace (semiology)010104 statistics & probabilityregular treetrace operator31e0546e35potentiaaliteoriaGeometry and Topology0101 mathematicsfunktionaalianalyysiAnalysisTrace operatorMathematicsNewtonian space
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Trace and density results on regular trees

2019

We give characterizations for the existence of traces for first order Sobolev spaces defined on regular trees.

Trace (linear algebra)Mathematics::Analysis of PDEsBoundary (topology)01 natural sciencesMeasure (mathematics)Potential theorySet (abstract data type)Combinatoricsregular treeMathematics - Metric Geometry0103 physical sciencesEuclidean geometryClassical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsMathematicsdensityMathematics::Functional Analysis010102 general mathematicsMetric Geometry (math.MG)Functional Analysis (math.FA)Sobolev spaceMathematics - Functional AnalysisMathematics - Classical Analysis and ODEs010307 mathematical physicsTree (set theory)46E35 30L99funktionaalianalyysiAnalysisboundary traceNewtonian space
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Classification criteria for regular trees

2021

Esitämme säännöllisten puiden parabolisuudelle yhtäpitäviä ehtoja. We give characterizations for the parabolicity of regular trees. peerReviewed

Regular treeCapacityparabolicitycapacity31C05 31C15 31C45 31E05Mathematics::Analysis of PDEsMetric Geometry (math.MG)ArticlesFunctional Analysis (math.FA)CombinatoricsMathematics - Functional AnalysisfunktioanalyysiMathematics - Analysis of PDEsregular treeHarmonic functionMathematics - Metric Geometryharmonic functionFOS: MathematicsMathematicsAnalysis of PDEs (math.AP)
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