6533b7d0fe1ef96bd125a1dd
RESEARCH PRODUCT
Regularity of the solution to a class of weakly singular fredholm integral equations of the second kind
Claus Schneidersubject
Algebra and Number TheoryMathematical analysisFredholm integral equationSingular integralIntegral transformFredholm theoryIntegral equationsymbols.namesakeSingular solutionsymbolsGravitational singularityDifferentiable functionAnalysisMathematicsdescription
Continuity and differentiability properties of the solution to a class of Fredholm integral equations of the second kind with weakly singular kernel are derived. The equations studied in this paper arise from e.g. potential problems or problems of radiative equilibrium. Under reasonable assumptions it is proved that the solution possesses continuous derivatives in the interior of the interval of integration but may have mild singularities at the end-points.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1979-03-01 | Integral Equations and Operator Theory |