Makhmud A. Sadybekov, Nurgissa A. Yessirkegenov
Abstract:
We consider the Neumann-Tricomi problem for the Lavrent'ev-Bitsadze
equation for the case in which the elliptic part of the boundary is
part of a circle. For the homogeneous equation, we introduce a new
class of solutions that are not continuous at the corner points of
the domain and construct nontrivial solutions in this class in closed form.
For the nonhomogeneous equation, we introduce the notion of an
n-regular solution and prove a criterion for the existence of such
a solution.
Submitted July 9, 2014. Published September 16, 2014.
Math Subject Classifications: 35M10.
Key Words: Neumann-Tricomi problem; n-regular solution;
Lavrent'ev-Bitsadze equation.
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Makhmud A. Sadybekov Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhstan email: makhmud-s@mail.ru | |
Nurgissa A. Yessirkegenov Institute of Mathematics and Mathematical Modeling 125 Pushkin str., 050010 Almaty, Kazakhstan email: nurgisa@hotmail.com |
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