elliptic partial differential equation

The result is of particular importance in the theory of elliptic partial differential equations.

The equations for an individual slice are elliptic partial differential equations.

Linear elliptic partial differential equations can be characterized as those whose principal symbol is nowhere zero.

It has been shown that given four boundary conditions a unique solution to the chosen general fourth order elliptic partial differential equation can be formulated.

This behavior is typical for solutions of elliptic partial differential equations: the solutions may be much more smooth than the boundary data.

He solved 19th Hilbert problem on the regularity of solutions of elliptic partial differential equations.

In, the Kansa method is employed to address the parabolic, hyperbolic and elliptic partial differential equations.

The typical application for multigrid is in the numerical solution of elliptic partial differential equations in two or more dimensions.

The result was prefigured by earlier results of Charles Morrey from 1938 on quasi-linear elliptic partial differential equations.

Dirichlet problems are typical of elliptic partial differential equations, and potential theory, and the Laplace equation in particular.

Semianalytical method of lines for solving elliptic partial differential equations, Chemical Engineering Science, 59, 781-788.

For elliptic partial differential equations this matrix is positive definite, which has decisive influence on the set of possible solutions of the equation in question.

A paper where the differentiability of solutions of elliptic partial differential equations is investigated by using mollifiers.

It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations.

Laplace's equation and Poisson's equation are the simplest examples of elliptic partial differential equations.

A short note announcing the results of paper :a translation of the title reads as:-"On linear totally elliptic partial differential equations".

A thread running through Donaldson's work is the application of mathematical analysis (especially the analysis of elliptic partial differential equations) to problems in geometry.

In modern presentations, Kellogg's theorem is usually covered as a specific case of the boundary Schauder estimates for elliptic partial differential equations.

Harmonic coordinates always exist (locally), a result which follows easily from standard results on the existence and regularity of solutions of elliptic partial differential equations.

In mathematics, the Schauder estimates are a collection of results due to concerning the regularity of solutions to linear, uniformly elliptic partial differential equations.

The method of continuity is used in conjunction with a priori estimates to prove the existence of suitably regular solutions to elliptic partial differential equations.

Through the 1940s and 1950s he continued to develop this theory, and to use it to study the planar elliptic partial differential equations associated with subsonic flows.

With the exception of the mean value theorem, these are easy consequences of the corresponding results for general linear elliptic partial differential equations of the second order.

The Hopf maximum principle is an early result of his (1927) which is one of the most important techniques in the theory of elliptic partial differential equations.

Calderón's inverse boundary problem is the problem of finding the coefficient of a divergence form elliptic partial differential equation from its Dirichlet-to-Neumann operator.