Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for ...

We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary value ...

Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...

The work deals with a boundary value problem for a quasilinear partial elliptical equation. The equation describes a stationary process of convective diffusion near a cylinder and takes into account ...

https://doi.org/10.2307/2118653 • https://www.jstor.org/stable/2118653 Copy URL M. J. ABLOWITZ, D. BAR YAACOV, and A. S. FOKAS, On the inverse scattering trans ...

This is a preview. Log in through your library . Abstract A typical boundary value problem for the hyperbolic equation uxy = f (x, y, u, ux, uy) consists in prescribing the unknown function u(x, y) ...

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...