Closed curve Elliptic boundary value problem Fundamental solutions Half-planes Pseudodifferential equations Semilinear Sobolev Differential equations Mathematical operators
Issue Date:
2009
Publisher:
Doklady Mathematics
Abstract:
A semilinear boundary value problem for a degenerate elliptic pseudodifferential equation in the
Sobolev type spaces has been reported. The fundamental solution of the operator P(D) can be represented in
the form of any closed curve in the upper (lower) complex half-plane, containing inside all the roots. The
Borsuk theorem has been used to state that the degree deg is odd. various equations are given in support of
the experiment.
