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Dirichlet Problem for Mixed Type Equation with Characteristic Degeneration and Singular Coefficient
Lobachevskii Journal of Mathematics Pub Date : 2020-04-10 , DOI: 10.1134/s1995080220010114 R. M. Safina
中文翻译:
具有特征退化和奇异系数的混合型方程的狄利克雷问题
更新日期:2020-04-10
Lobachevskii Journal of Mathematics Pub Date : 2020-04-10 , DOI: 10.1134/s1995080220010114 R. M. Safina
Abstract
For a mixed-type equation of the second kind with a singular coefficient by the spectral expansions uniqueness criterion is installed for solving the first boundary-value problem. The solution was constructed as the sum of a Fourier–Bessel series. In justifying the uniform convergence appeared the problem of small denominators. In connection with this evaluation is set on a small separation from zero denominator with the corresponding asymptotic behavior that allowed to justify the convergence of the series in the class of regular solutions.中文翻译:
具有特征退化和奇异系数的混合型方程的狄利克雷问题