STOCHASTIC ANALYSIS AND WHITE NOISE CALCULUS OF NONLINEAR WAVE EQUATIONS WITH APPLICATION TO LASER GENERATION AND PROPAGATION

In this paper we study a large class of nonlinear stochastic wave equations that arise in laser generation models and models for propagation in random media in a unified mathematical framework. Continuous and pulsewave propagation models, free electron laser generation models, as well as laser-plasma interaction models have been cast in a convenient and unified abstract framework as semilinear evolution equations in a Hilbert space to enable stochastic analysis. We formulate Itˆo calculus and white noise calculus methods of treating stochastic terms and prove existence and uniqueness of mild solutions.