Integral Equations with Diagonal and Boundary Singularities of the Kernel | Zendy

Arvet Pedas | Zendy; Gennadi Vainikko | Zendy

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Integral Equations with Diagonal and Boundary Singularities of the Kernel

Author(s) -

Arvet Pedas,

Gennadi Vainikko

Publication year - 2006

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1304

Subject(s) - diagonal , gravitational singularity , kernel (algebra) , boundary (topology) , mathematics , mathematical analysis , integral equation , pure mathematics , geometry

We study the smoothness and the singularities of the solution to Fredholm and Volterra integral equations of the second kind on a bounded interval. The kernel of the integral operator may have diagonal and boundary singularities, information about them is given through certain estimates. The weighted spaces of smooth functions with boundary singularities containing the solution of the integral equation are described. Examples show that the results cannot be improved.

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