G.M.Gubreev Uniform correctness of the Cauchy problem for the wave equation with nonclassic boundary conditions |
Acoustic bulletin, Vol. 4 ¹ 2, (2001) |
| A criteria of the uniform correctness is formulated and the norms of the Cauchy problem solutions for the wave equation with integral boundary conditions are estimated. The criteria is given with the terms of the Muckenhoupt condition for special weight on contours, including the spectrum of the problem. The obtained results can be used for solving the different boundary problems of linear acoustics in the non-classical statement. |
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KEY WORDS: the Cauchy problem, wave equation, uniform correctness, the Muckenhoupt condition |
| TEXT LANGUAGE: Russian |