The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
Alexander Logunov, Eugenia Malinnikova, Nikolaï Nadirashvili, Fëdor Nazarov
Topics & Concepts
MathematicsEigenfunctionBounded functionLambdaHausdorff measureOmegaBoundary (topology)Domain (mathematical analysis)Dirichlet boundary conditionUpper and lower boundsCombinatoricsEigenvalues and eigenvectorsLaplace transformLaplace operatorDirichlet distributionMathematical analysisLaplace's equationZero (linguistics)Measure (data warehouse)Hausdorff dimensionBoundary value problemPhysicsPhilosophyOpticsQuantum mechanicsDatabaseComputer scienceLinguisticsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problemsNonlinear Partial Differential Equations