Possio Integral Equation of Aeroelasticity Theory

This paper presents a new abstract function space formulation of the subsonic small disturbance potential field equations of aeroelasticity and an operator theoretic treatment of the Possio integral equation in the generality of the Laplace transform variable λ. A key result is the new form of the kernel—which is shown to be analytic in the whole plane, excepting the negative real axis—using an existence and uniqueness theorem is proved valid for small ∣λ∣. The main new feature is the use of spatial Lp-Lq Fourier transforms for 1