Estimates for the Derivatives of Solutions to Weakly Singular Fredholm Integral Equations

DOI10.1137/0511085zbMath0458.45001OpenAlexW2014311299MaRDI QIDQ3908009

Juhani Pitkäranta

Publication date: 1980

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0511085

zbMATH Keywords

differential propertiesestimates for the derivativesexplicit local singular resolutionweakly singular Fredholm integral equation of the second kind

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)

Related Items

SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ On the solution of the transport equation with periodic boundary conditions by the method of discrete ordinates ⋮ A new aspect for choosing collocation points for solving biharmonic equations ⋮ Fast collocation methods for high-dimensional weakly singular integral equations ⋮ On Solution Regularity of the Two-Dimensional Radiation Transfer Equation and Its Implication on Numerical Convergence ⋮ What is the complexity of periodic weakly singular integral equations? ⋮ FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND ⋮ A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind ⋮ On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals ⋮ Estimates for the modulus of smoothness ⋮ The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations