Dirichlet-Problem

См. также в других словарях:

• Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… …   Wikipedia

• Dirichlet problem — ▪ mathematics       in mathematics, the problem of formulating and solving certain partial differential equations (partial differential equation) that arise in studies of the flow of heat, electricity, and fluids. Initially, the problem was to… …   Universalium

• Dirichlet-Problem — Als Dirichlet Randbedingung (nach Peter Gustav Lejeune Dirichlet) bezeichnet man im Zusammenhang mit Differentialgleichungen (genauer: Randwertproblemen), Werte, die auf dem jeweiligen Rand des Definitionsbereichs von der Funktion angenommen… …   Deutsch Wikipedia

• Dirichlet eigenvalue — In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of… …   Wikipedia

• Dirichlet , (Peter Gustav) Lejeune — (1805–1859) German mathematician Born in Düren (now in Germany), Dirichlet studied mathematics at Göttingen where he was a pupil of Karl Gauss and Karl Jacobi. He also studied briefly in Paris where he met Joseph Fourier, who stimulated his… …   Scientists

• Dirichlet-Prinzip — Das Dirichlet Prinzip in der Potentialtheorie besagt, dass Funktionen u in einem Gebiet (mit vorgegebenen Werten u = g auf dem Rand von G), die das „Energiefunktional“ (Dirichlet Integral) mini …   Deutsch Wikipedia

• Dirichlet boundary condition — In mathematics, the Dirichlet (or first type) boundary condition is a type of boundary condition, named after Johann Peter Gustav Lejeune Dirichlet (1805–1859) who studied under Cauchy and succeeded Gauss at University of Göttingen.[1] When… …   Wikipedia

• Dirichlet, Peter Gustav Lejeune — ▪ German mathematician born Feb. 13, 1805, Düren, French Empire [now in Germany] died May 5, 1859, Göttingen, Hanover       German mathematician who made valuable contributions to number theory, analysis, and mechanics. He taught at the… …   Universalium

• Dirichlet eta function — For the modular form see Dedekind eta function. Dirichlet eta function η(s) in the complex plane. The color of a point s encodes the value of η(s). Strong colors denote values close to zero and hue encodes the value s argumen …   Wikipedia

• Dirichlet-Randbedingung — Als Dirichlet Randbedingung (nach Peter Gustav Lejeune Dirichlet) bezeichnet man im Zusammenhang mit Differentialgleichungen (genauer: Randwertproblemen) Werte, die auf dem jeweiligen Rand des Definitionsbereichs von der Funktion angenommen… …   Deutsch Wikipedia

• Dirichlet's theorem on arithmetic progressions — In number theory, Dirichlet s theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n ≥ 0. In other… …   Wikipedia