- elliptic boundary-value problem
- эллиптическая краевая задача
English-russian dictionary of physics. 2013.
elliptic boundary-value problem
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Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… … Wikipedia
Boundary value problem — In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the… … Wikipedia
Stochastic processes and boundary value problems — In mathematics, some boundary value problems can be solved using the methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani s 1944 solution of the Dirichlet problem for the Laplace operator using Brownian motion.… … Wikipedia
Examples of boundary value problems — We will use k to denote the square root of the absolute value of lambda.If lambda = 0 then:y(x) = Ax + B,solves the ODE. Substituted boundary conditions give that both A and B are equal to zero.For positive lambda we obtain that:y(x) = A e^{kx} + … Wikipedia
Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… … Wikipedia
Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based … Wikipedia
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Compact operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… … Wikipedia
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Séminaire Nicolas Bourbaki (1960–1969) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1960s.1960/61 series*205 Adrien Douady, Plongements de sphères, d après Mazur et Brown (embeddings of spheres) *206 Roger Godement, Groupes linéaires algébriques sur un corps… … Wikipedia
Hilbert-Schmidt theorem — In mathematical analysis, the Hilbert Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self adjoint operators on Hilbert spaces. In the theory of partial differential equations, it is … Wikipedia
