On a Hypersingular Equation of a Problem, for a Crack in Elastic Media

Gil, Alexey, and Samko, Stefan. "On a Hypersingular Equation of a Problem, for a Crack in Elastic Media." Fractional Calculus and Applied Analysis 13.1 (2010): 1-8. <http://eudml.org/doc/219569>.

@article{Gil2010,
abstract = {Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.},
author = {Gil, Alexey, Samko, Stefan},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Hypersingular Integrals; Diffraction; Cracks; Fredholm Integral Equations; Singular Integral Equations},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On a Hypersingular Equation of a Problem, for a Crack in Elastic Media},
url = {http://eudml.org/doc/219569},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Gil, Alexey
AU - Samko, Stefan
TI - On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 1
SP - 1
EP - 8
AB - Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.
LA - eng
KW - Hypersingular Integrals; Diffraction; Cracks; Fredholm Integral Equations; Singular Integral Equations
UR - http://eudml.org/doc/219569
ER -