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- Hilbert's_nineteenth_problem abstract "Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether the solutions of regular problems in the calculus of variations are always analytic. Informally, and perhaps less directly, since Hilbert's concept of a "regular variational problem" identifies precisely a variational problem whose Euler–Lagrange equation is an elliptic partial differential equation with analytic coefficients, Hilbert's nineteenth problem, despite its seemingly technical statement, simply asks whether, in this class of partial differential equations, any solution function inherit the relatively simple and well understood structure from the solved equation.".
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- Hilbert's_nineteenth_problem wikiPageID "2336226".
- Hilbert's_nineteenth_problem wikiPageRevisionID "605025691".
- Hilbert's_nineteenth_problem authorLink "Ennio de Giorgi".
- Hilbert's_nineteenth_problem authorLink "John Forbes Nash".
- Hilbert's_nineteenth_problem authorlink "Sergei Natanovich Bernstein".
- Hilbert's_nineteenth_problem first "Ennio".
- Hilbert's_nineteenth_problem first "John Forbes".
- Hilbert's_nineteenth_problem first "Sergei".
- Hilbert's_nineteenth_problem hasPhotoCollection Hilbert's_nineteenth_problem.
- Hilbert's_nineteenth_problem last "Bernstein".
- Hilbert's_nineteenth_problem last "De Giorgi".
- Hilbert's_nineteenth_problem last "Nash".
- Hilbert's_nineteenth_problem sign David_Hilbert.
- Hilbert's_nineteenth_problem source ".".
- Hilbert's_nineteenth_problem text "Eine der begrifflich merkwürdigsten Thatsachen In den Elementen der Theorie der analytischen Funktionen erblicke ich darin, daß es Partielle Differentialgleichungen giebt, deren Integrale sämtlich notwendig analytische Funktionen der unabhängigen Variabeln sind, die also, kurz gesagt, nur analytischer Lösungen fähig sind.".
- Hilbert's_nineteenth_problem year "1904".
- Hilbert's_nineteenth_problem year "1956".
- Hilbert's_nineteenth_problem year "1957".
- Hilbert's_nineteenth_problem year "1958".
- Hilbert's_nineteenth_problem subject Category:Calculus_of_variations.
- Hilbert's_nineteenth_problem subject Category:Hilbert's_problems.
- Hilbert's_nineteenth_problem subject Category:Partial_differential_equations.
- Hilbert's_nineteenth_problem type Abstraction100002137.
- Hilbert's_nineteenth_problem type Attribute100024264.
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- Hilbert's_nineteenth_problem type Condition113920835.
- Hilbert's_nineteenth_problem type DifferentialEquation106670521.
- Hilbert's_nineteenth_problem type Difficulty114408086.
- Hilbert's_nineteenth_problem type Equation106669864.
- Hilbert's_nineteenth_problem type Hilbert'sProblems.
- Hilbert's_nineteenth_problem type MathematicalStatement106732169.
- Hilbert's_nineteenth_problem type Message106598915.
- Hilbert's_nineteenth_problem type PartialDifferentialEquation106670866.
- Hilbert's_nineteenth_problem type PartialDifferentialEquations.
- Hilbert's_nineteenth_problem type Problem114410605.
- Hilbert's_nineteenth_problem type State100024720.
- Hilbert's_nineteenth_problem type Statement106722453.
- Hilbert's_nineteenth_problem comment "Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether the solutions of regular problems in the calculus of variations are always analytic.".
- Hilbert's_nineteenth_problem label "Hilbert's nineteenth problem".
- Hilbert's_nineteenth_problem label "希爾伯特第十九問題".
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