Stochastic PDE for nonlinear vibration of elastic panels
P. L. Chow, J. L. Menaldi · Differential and Integral Equations · 1999
This paper is concerned with a nonlinear integro-partial differential equation perturbed by a state dependent white noise arising from the aeroelastic panel vibration. With the aid of a stochastic energy equation, the existence, uniqueness and regularity of solutions are proved.