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About: Semi-elliptic operator     Goto   Sponge   NotDistinct   Permalink

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Type: companyyago:WikicatPartialDifferentialEquationsyago:Abstraction100002137yago:Communication100033020yago:DifferentialEquation106670521yago:Equation106669864yago:Function113783816yago:MathematicalRelation113783581yago:MathematicalStatement106732169yago:Message106598915yago:Operator113786413yago:PartialDifferentialEquation106670866yago:Relation100031921yago:Statement106722453yago:WikicatDifferentialOperators New Facet based on Instances of this Class

In mathematics — specifically, in the theory of partial differential equations — a semi-elliptic operator is a partial differential operator satisfying a positivity condition slightly weaker than that of being an elliptic operator. Every elliptic operator is also semi-elliptic, and semi-elliptic operators share many of the nice properties of elliptic operators: for example, much of the same existence and uniqueness theory is applicable, and semi-elliptic Dirichlet problems can be solved using the methods of stochastic analysis.