Boundary value problems in diffraction theory and lifting surface theory

More specifically in this case we show that the transmission eigenvalues form at most a discrete set using an equivalent inte- gral equation formulation of the transmission

analytic continuation, backward shift, de Branges-Rovnyak spaces, Carleson embed- ding, connected level set condition, invariant subspace, Muckenhoupt condition, reproducing

analytic continuation, backward shift, de Branges-Rovnyak spaces, Carleson embed- ding, invariant subspace, Muckenhoupt condition, one component inner functions, reproducing

A mixed boundary value problem for the partial differential equation of difusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of di- rect

Many different methods have been used to estimate the solution of Hallen’s integral equation such as, finite element methods [4], a general method for solving dual integral equation

There also exists a nonlinear generalized form of the Navier’s conditions.. Fujita has studied the Stokes model with those nonlinear boundary conditions, a well-posed problem leading

For the formulation of the above boundary value problems and integral equations in the weak and the variational form we need the usual Sobolev spaces H8(Q), s E R [20],

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general bonudary