Том 69
№ 9

All Issues

Osipchuk M. M.

Articles: 2
Article (Ukrainian)

On Simple-Layer Potentials for One Class of Pseudodifferential Equations

Osipchuk M. M., Portenko N. I.

↓ Abstract

Ukr. Mat. Zh. - 2015. - 67, № 11. - pp. 1512-1524

We construct single-layer potentials for a class of pseudodifferential equations connected with symmetric stable stochastic processes. An operator similar to the operator of gradient in the classical potential theory is selected and an analog of the classical theorem on the jump of (co)normal derivative of single-layer potential is established. This result allows us to construct solutions of some initial-boundary-value problems for pseudodifferential equations of the indicated kind.

Article (Ukrainian)

On a transformation of the wiener process in Rm by a functional of the local time type on a surface

Osipchuk M. M.

Full text (.pdf)

Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 863–866