Fully Nonlinear Stochastic Partial Differential Equations

Benjamin Seeger
This thesis is concerned with the theory and applications of certain fully nonlinear stochastic partial differential equations. First, we present several new results regarding the well-posedness of the equations. Among these are proofs of the comparison principle for equations with nontrivial spatial dependence. We also prove some new path-stability estimates, and we give a very general proof of existence using Perron's method, which characterizes the unique solution as the maximal sub-solution. We also discuss a...
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