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RESEARCH PRODUCT
Harmonic morphisms in nonlinear potential theory
Juha HeinonenO. MartioTero Kilpeläinensubject
010308 nuclear & particles physicsGeneral Mathematics010102 general mathematicsHarmonic (mathematics)01 natural sciencesPotential theory30C6535J60AlgebraNonlinear systemMorphism0103 physical sciences0101 mathematicsMathematicsdescription
This article concerns the following problem: given a family of partial differential operators with similar structure and given a continuous mapping f from an open set Ω in Rn into Rn, then when does f pull back the solutions of one equation in the family to solutions of another equation in that family? This problem is typical in the theory of differential equations when one wants to use a coordinate change to study solutions in a different environment.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-03-01 | Nagoya Mathematical Journal |