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Viscosity solution

In mathematics, the viscosity solution concept was introduced in the early 1980s by Pierre-Louis Lions and Michael G. Crandall as a generalization of the classical concept of what is meant by a 'solution' to a partial differential equation (PDE). It has been found that the viscosity solution is the natural solution concept to use in many applications of…

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Viscosity solution

Nodes39
Edges38
Triples44
Avg. degree1.95
Density0.051282
Components1

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Viscosity solution

Top relations

related to history · 13
Viscosity solution → Alexandrov, Crandall, Evans, For, Hamilton, Jacobi, Lawrence, Lions, Michael, Pierre-Louis Lions, Robert Jensen, Subsequently, The
related to Example · 11
Viscosity solution → Because, Consider, For, From, Indeed, Moreover, On, Suppose, Then, This, Thus
related to Discussion · 8
Viscosity solution → Figure, Further, In, Note, One, PDE, The, This
related to Definition · 6
Viscosity solution → Fleming, II, See, Soner's, There, Users Guide
related to Basic properties · 4
Viscosity solution → It, Some, The, Yet
is a · 1
Viscosity solution → natural solution concept to use in many applications of PDE's

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Important terminology

viscosity displaystyle solution solutions equation concept definition elliptic pde equations boundary existence differentiable properties function conditions phi comparison stability example

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Viscosity solutionis anatural solution concept to use in many applications of PDE's0.90text
the ones arising in stochastic optimal control or stochastic differential games.The classical concept was that a PDE Finstance ofas well as second-order equations0.80text
Viscosity solutionrelated to Basic propertiesThe0.60section
Viscosity solutionrelated to Basic propertiesYet0.60section
Viscosity solutionrelated to Basic propertiesIt0.60section
Viscosity solutionrelated to Basic propertiesSome0.60section
Viscosity solutionrelated to DefinitionThere0.60section
Viscosity solutionrelated to DefinitionSee0.60section
Viscosity solutionrelated to DefinitionII0.60section
Viscosity solutionrelated to DefinitionFleming0.60section
Viscosity solutionrelated to DefinitionSoner's0.60section
Viscosity solutionrelated to DefinitionUsers Guide0.60section

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