Boundary value problems for the Vlasov-Maxwell equation in one dimension

Boundary Value Problems for the Stationary Vlasov-Boltzmann-Poisson Equation

We investigate the well posedness of stationary Vlasov-Boltzmann equations both in the simpler case of linear problem with a space varying force field and a collisional integral satisfying the detailed balanced principle with a non-singular scattering function, and, the non-linear Vlasov-Poisson-Boltzmann system. For the former we obtain existence-uniqueness results for arbitrarily large integr...

Boundary Value Problems in One Dimension

While its roots are firmly planted in the finite-dimensional world of matrices and vectors, the full scope of linear algebra is much broader. Its historical development and, hence, its structures, concepts, and methods, were strongly influenced by linear analysis — specifically, the need to solve linear differential equations, linear boundary value problems, linear integral equations, and the l...

Boundary value problems for the one-dimensional Willmore equation

The one-dimensional Willmore equation is studied under Navier as well as under Dirichlet boundary conditions. We are interested in smooth graph solutions, since for suitable boundary data, we expect the stable solutions to be among these. In the first part, classical symmetric solutions for symmetric boundary data are studied and closed expressions are deduced. In the Navier case, one has exist...

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.