Radiation conditions and uniqueness theorem for n-dimensional wave equation in an infinite domain

An Infinite Dimensional Convolution Theorem

An Infinite Dimensional Convolution Theorem

An Infinite Dimensional Convolution Theorem

Uniqueness Theorem for the Reduced Wave Equation under an 7vth Order Differential Boundary Condition12

where f(6) is a continuous function of 6. This radiation condition is more explicit than the usual Sommerfeld condition, and, by its very nature, rules out surface waves as they are oscillating and nondecaying along the boundary. It was found to be equally convenient to state and prove uniqueness for all N and \m9^ ±iK. The explicit far field behavior mentioned above is not required; rather we ...

Radiation Boundary Conditions for the Two - Dimensional Wave Equation from a Variational Principle Jan

A variational principle is used to derive a new radiation boundary condition for the two-dimensional wave equation. This boundary condition is obtained from an expression for the local energy flux velocity on the boundary in normal direction. The wellposedness of the wave equation with this boundary condition is analyzed by investigating the energy of the system. Results obtained with this (non...