Плакса, С. А. and Грищук, С. В.
(2019)
SchwartzType Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra.
Springer Nature Switzerland AG.
Abstract
We consider Schwartztype boundary value problems for monogenic functions in a commutative algebra over the field of complex numbers with the bases {e1, e2} satisfying the conditions , . The algebra is
associated with the biharmonic equation, and considered problems have
relations to the plane elasticity. We develop methods of its solving
which are based on expressions of solutions by hypercomplex integrals
analogous to the classic Schwartz and Cauchy integrals.
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