Plaksa S. Monogenic functions in boundary problems for elliptic type equations with a degeneration on an axis

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000171

Thesis Registration Form

0506U000171.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

28-03-2006

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

For investigating spatial axial-symmetric potential solenoid fields we have developed an algebraic-analytic method by means monogenic functions taking values in an infinite-dimensional commutative Banach algebra. We have developed a functional analytic method for solving boundary problems for these fields that makes it possible to reduce Dirichlet boundary problems for axial-symmetric potential and the Stockes flow function to Fredholm integral equations of the second kind.

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Files

Aref.pdf

dis1.pdf

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