Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Cauchy_problem> ?p ?o. }
Showing items 1 to 46 of
46
with 100 items per page.
- Cauchy_problem abstract "A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition), but it can be none of them. They are named after Augustin Louis Cauchy.Suppose that the partial differential equation is defined on Rn and consider a smooth manifold S ⊂ Rn of dimension n − 1 (S is called the Cauchy surface). Then the Cauchy problem consists of finding the solution u of the differential equation that satisfieswhere are given functions defined on the surface (collectively known as the Cauchy data of the problem), n is a normal vector to S, and κ denotes the order of the differential equation.The Cauchy–Kowalevski theorem says that Cauchy problems have unique solutions under certain conditions, the most important of which being that the Cauchy data and the coefficients of the partial differential equation be real analytic functions.".
- Cauchy_problem wikiPageExternalLink CauchyProblem.html.
- Cauchy_problem wikiPageID "1725027".
- Cauchy_problem wikiPageRevisionID "588121903".
- Cauchy_problem hasPhotoCollection Cauchy_problem.
- Cauchy_problem subject Category:Mathematical_problems.
- Cauchy_problem subject Category:Partial_differential_equations.
- Cauchy_problem type Abstraction100002137.
- Cauchy_problem type Attribute100024264.
- Cauchy_problem type Communication100033020.
- Cauchy_problem type Condition113920835.
- Cauchy_problem type DifferentialEquation106670521.
- Cauchy_problem type Difficulty114408086.
- Cauchy_problem type Equation106669864.
- Cauchy_problem type MathematicalProblems.
- Cauchy_problem type MathematicalStatement106732169.
- Cauchy_problem type Message106598915.
- Cauchy_problem type PartialDifferentialEquation106670866.
- Cauchy_problem type PartialDifferentialEquations.
- Cauchy_problem type Problem114410605.
- Cauchy_problem type State100024720.
- Cauchy_problem type Statement106722453.
- Cauchy_problem comment "A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition), but it can be none of them.".
- Cauchy_problem label "Cauchy problem".
- Cauchy_problem label "Probleem van Cauchy".
- Cauchy_problem label "Problema de Cauchy".
- Cauchy_problem label "Problema di Cauchy".
- Cauchy_problem label "Problème de Cauchy".
- Cauchy_problem label "Zagadnienie Cauchy'ego".
- Cauchy_problem label "Задача Коши".
- Cauchy_problem label "コーシー問題".
- Cauchy_problem label "柯西问题".
- Cauchy_problem sameAs Cauchyho_úloha.
- Cauchy_problem sameAs Αρχική_τιμή.
- Cauchy_problem sameAs Problema_de_Cauchy.
- Cauchy_problem sameAs Problème_de_Cauchy.
- Cauchy_problem sameAs Problema_di_Cauchy.
- Cauchy_problem sameAs コーシー問題.
- Cauchy_problem sameAs Probleem_van_Cauchy.
- Cauchy_problem sameAs Zagadnienie_Cauchy'ego.
- Cauchy_problem sameAs m.05rb_t.
- Cauchy_problem sameAs Q1412436.
- Cauchy_problem sameAs Q1412436.
- Cauchy_problem sameAs Cauchy_problem.
- Cauchy_problem wasDerivedFrom Cauchy_problem?oldid=588121903.
- Cauchy_problem isPrimaryTopicOf Cauchy_problem.