2 papers
math.PR2017
Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law
Luca Hornung
We study the Cauchy problem for a semilinear stochastic Maxwell equation with Kerr-type nonlinearity and a retarded material law. We show existence and uniqueness of strong solutio…
math.FA2016
Quasilinear parabolic stochastic evolution equations via maximal -regularity
Luca Hornung
We study the Cauchy problem for an abstract quasilinear stochastic parabolic evolution equation on a Banach space driven by a cylindrical Brownian motion. We prove existence and un…