Regularity of the solution of the Prandtl equation

V. E. Petrov, T. A. Suslina

Solvability and regularity of the solution of the Dirichlet problem for the Prandtl equation $$\frac{u(x)}{p(x)}-\frac{1}{2\pi }{\int }_{-1}^1\frac{u^{\prime }(t)}{t-x}dt=f(x)$$ is studied…