Adrian I. Nachman, Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem, Annals of Mathematics, Vol. 143, No. 1 (Jan., 1996), pp. 71-96 ...

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

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...