<p>We consider a piecewise continuous biharmonic problem in domains with corner points and the corresponding Schwarz-type boundary-value problem for monogenic functions in the commutative biharmonic algebra. A method is developed for reducing the problems to a system of integral equations.</p>

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A Hypercomplex Method for Solving Piecewise Continuous Biharmonic Problem in Domains with Corner Points

  • Serhii Gryshchuk,
  • Sergiy Plaksa

摘要

We consider a piecewise continuous biharmonic problem in domains with corner points and the corresponding Schwarz-type boundary-value problem for monogenic functions in the commutative biharmonic algebra. A method is developed for reducing the problems to a system of integral equations.