研究目的
To study the unique solvability of a mixed oblique derivative boundary value problem for the Helmholtz equation in a half-disk for sufficiently large values of the parameter occurring in the equation.
研究成果
The paper proves the unique solvability of the mixed oblique derivative boundary value problem for the Helmholtz equation in a half-disk for sufficiently large values of the parameter μ. The leading term in the expansion of the solution with respect to the parameter μ is determined explicitly, providing a significant contribution to the understanding of such problems.
研究不足
The study is limited to the Helmholtz equation in a half-disk with specific boundary conditions. The unique solvability is proven for sufficiently large values of the parameter μ, and the approach may not be directly applicable to other domains or boundary conditions without further analysis.
