Speaker
Serhii Gryshchuk
(Institute of Mathematics of NAS of Ukraine, Zhytomyr Military Institute named after S.P. Korolyov)
Description
A hypercomplex method for solving the piecewise-continuous Dirichlet problem for the Lamé system in domains with corner points has been developed, which is based on the representation of solutions using the components of a monogenic function in a commutative biharmonic algebra. Using a biharmonic integral of the Cauchy type, the Dirichlet problem has been reduced to a system of integral equations.
References
[1] Serhii Gryshchuk, Sergiy Plaksa, Piecewise-continuous Dirichlet problem for Lam\'{e} system, Ukr. mat. visnyk, Vol. 23, No. 2, pp. 171-200 (2026).
Primary authors
Serhii Gryshchuk
(Institute of Mathematics of NAS of Ukraine, Zhytomyr Military Institute named after S.P. Korolyov)
Sergiy Plaksa
(Institute of Mathematics of NAS of Ukraine)
