Removable singularities of solutions of semi-elliptic equations

A. V. Pokrovskiĭ

doi:10.1134/s0012266109020074

ScienceGate Book Chapters

JOURNAL ARTICLE

Removable singularities of solutions of semi-elliptic equations

A. V. Pokrovskiĭ

Year: 2009 Journal: Differential Equations Vol: 45 (2)Pages: 209-216 Publisher: Pleiades Publishing

DOI: 10.1134/s0012266109020074

Get Full-Text PDF Get Analytical Report

Abstract

Let P(D) be a quasihomogeneous semi-elliptic linear differential operator with constant coefficients in ℝ n . We prove a metric criterion for the removability of singular sets of solutions of the equation P(D)f = 0 in function classes defined by solutions of this equation with the use of local approximations in mean.

Keywords:

Mathematics Gravitational singularity Mathematical analysis Partial differential equation Elliptic partial differential equation Ordinary differential equation Constant (computer programming) Metric (unit) Differential equation Constant coefficients Elliptic curve Linear differential equation Pure mathematics

Metrics

Cited By

0.40

FWCI (Field Weighted Citation Impact)

Refs

0.63

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Topics

Differential Equations and Boundary Problems

Physical Sciences → Mathematics → Applied Mathematics

Algebraic and Geometric Analysis

Physical Sciences → Mathematics → Applied Mathematics

Differential Equations and Numerical Methods

Physical Sciences → Mathematics → Numerical Analysis

Removable singularities of solutions of semi-elliptic equations

Abstract

Metrics

Topics

Related Documents

Removable singularities of solutions of elliptic equations

Removable singularities of solutions of elliptic equations

Removable singularities of solutions of elliptic equations. II

Removable singularities of solutions of non-linear elliptic equations

Removable singularities of solutions to elliptic Monge-Ampère equations