The problem on conjugation on solutions of a hyperbolic system along unknown contact boundary in sector (in Ukrainian)
Journal: Matematychni Studii (Vol.39, No. 1)Publication Date: 2013-01-01
Authors : Andrusyak R. V.; Burdeyna N. O.; Kyrylych V. M.;
Page : 74-83
Keywords : hyperbolic problem; quasi-linear equations; free discontinuity line; method of characteristic;
Abstract
The conditions of solvability in the generalized sense of a problem with unknown breaking line of initial data for a hyperbolic quasilinear system with two independent variables in the sector were established. Applying the method of characteristics a solution of the problem is reduced to finding the fixed point of the operator whose existence and uniqueness are proved using the Banach theorem.
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Last modified: 2014-01-13 20:09:00