3 papers
math.CV2026
Estimates of the modulus of continuity of the logarithmic double layer potential in the closure of domain
Sergiy Plaksa, Alexander Sarana
We obtain estimates of the modulus of continuity for the real part of the Cauchy-type integral in the closure of domain bounded by an Ahlfors-regular integration curve. These estim…
math.CV2025
A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points
S. V. Gryshchuk, S. A. Plaksa
A piecewise continuous biharmonic problem in domains with corner points and a corresponding Schwarz type boundary value problem for monogenic functions in a commutative biharmonic…
math.CV2024
The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary
Sergiy Plaksa
For the real part of the Cauchy-type integral that is known to be the logarithmic potential of the double layer, a necessary and sufficient condition for the continuous extension t…