Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Viscosity_solution> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Viscosity_solution abstract "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 PDE's, including for example first order equations arising in optimal control (the Hamilton-Jacobi equation), differential games (the Isaacs equation) or front evolution problems, as well as second-order equations such as the ones arising in stochastic optimal control or stochastic differential games.The classical concept was that a PDEover a domain has a solution if we can find a function u(x) continuous and differentiable over the entire domain such that , , , satisfy the above equation at every point.If a scalar equation is degenerate elliptic (defined below), one can define a type of weak solution called viscosity solution.Under the viscosity solution concept, u need not be everywhere differentiable. There may be points where either or does not exist and yet u satisfies the equation in an appropriate sense. The definition allows only for certain kind of singularities, so that existence, uniqueness, and stability under uniform limits, hold for a large class of equations.".
- Viscosity_solution wikiPageID "2300687".
- Viscosity_solution wikiPageRevisionID "573653079".
- Viscosity_solution hasPhotoCollection Viscosity_solution.
- Viscosity_solution subject Category:Dynamic_programming.
- Viscosity_solution subject Category:Mathematical_finance.
- Viscosity_solution subject Category:Partial_differential_equations.
- Viscosity_solution type Abstraction100002137.
- Viscosity_solution type Communication100033020.
- Viscosity_solution type DifferentialEquation106670521.
- Viscosity_solution type Equation106669864.
- Viscosity_solution type MathematicalStatement106732169.
- Viscosity_solution type Message106598915.
- Viscosity_solution type PartialDifferentialEquation106670866.
- Viscosity_solution type PartialDifferentialEquations.
- Viscosity_solution type Statement106722453.
- Viscosity_solution comment "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).".
- Viscosity_solution label "Viscosity solution".
- Viscosity_solution label "粘性解".
- Viscosity_solution label "粘性解".
- Viscosity_solution sameAs 粘性解.
- Viscosity_solution sameAs m.0722np.
- Viscosity_solution sameAs Q7935676.
- Viscosity_solution sameAs Q7935676.
- Viscosity_solution sameAs Viscosity_solution.
- Viscosity_solution wasDerivedFrom Viscosity_solution?oldid=573653079.
- Viscosity_solution isPrimaryTopicOf Viscosity_solution.