# Positivity of mild solution to stochastic evolution equations with an application to forward rates

@article{Marinelli2019PositivityOM, title={Positivity of mild solution to stochastic evolution equations with an application to forward rates}, author={Carlo Marinelli}, journal={arXiv: Analysis of PDEs}, year={2019} }

We prove a maximum principle for mild solutions to stochastic evolution equations with (locally) Lipschitz coefficients and Wiener noise on weighted $L^2$ spaces. As an application, we provide sufficient conditions for the positivity of forward rates in the Heath-Jarrow-Morton model, considering the associated Musiela SPDE on a homogeneous weighted Sobolev space.

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