Moving boundary value problems for the wave equation

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

A Boundary Value Problem for the Wave Equation

Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate the question of boundary value problems for hyperbolic partial differential equations. In this regard, prescribing data along characteristics ...

Inverse Boundary Value Problems for the Magnetic Schrödinger Equation

We survey recent results on inverse boundary value problems for the magnetic Schrödinger equation.

Two Boundary Value Problems for the Ginzburg-landau Equation

Two boundary value problems for the Ginzburg-Landau equation are considered. Extensive numerical calculations have been performed in each case, including bifurcation histories, spectral analysis, PoincarC sections and Hausdorff dimension estimates. The approach to the inviscid limit is given detailed treatment. In this case universal behavior has been found to exist. Arguments are presented to ...