Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Boundary value problems for singularly perturbed equations often have singular solutions with internal and boundary layers. This paper addresses the question of when singular solutions to such ...