0000000000530281

AUTHOR

Olli Martio

showing 6 related works from this author

Removability theorems for solutions of degenerate elliptic partial differential equations

1993

Pure mathematicsParametrixGeneral Mathematics010102 general mathematicsFirst-order partial differential equation01 natural sciencesParabolic partial differential equation010101 applied mathematicsStochastic partial differential equationSemi-elliptic operatorElliptic partial differential equation0101 mathematicsSymbol of a differential operatorNumerical partial differential equationsMathematicsArkiv för Matematik
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Partial differential equations and quasiregular mappings

1992

Partial differential equationMathematical analysisFirst-order partial differential equationMathematics
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Quasilines and conformal mappings

1981

Pure mathematicsExtremal lengthPartial differential equationFunctional analysisGeneral MathematicsConformal mapConformal geometryAnalysisMathematicsJournal d'Analyse Mathématique
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Counterexamples for unique continuation

1988

AlgebraContinuationNumber theoryGeneral MathematicsAlgebraic geometryAlgorithmMathematicsCounterexampleManuscripta Mathematica
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On the fusion problem for degenerate elliptic equations

1995

Let F be a relatively closed subset of a Euclidean domain Ω. We investigate when solutions u to certain elliptic equations on Ω/F are restrictions of solutions on all of Ω. Specifically, we show that if ∂F is not too large, and u has a suitable decay rate near F, then u can be so extended.

FusionPure mathematicsPartial differential equationApplied Mathematics010102 general mathematicsDegenerate energy levelsMathematical analysisMathematical statistics01 natural sciences010104 statistics & probabilitySingularityEuclidean domain0101 mathematicsAnalysisMathematicsCommunications in Partial Differential Equations
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Boundary Hölder Continuity and Quasiconformal Mappings

1991

Quasiconformal mappingGeneral MathematicsMathematical analysisHölder conditionBoundary (topology)Modulus of continuityMathematicsJournal of the London Mathematical Society
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