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The Yamada-Watanabe theorem for mild solutions to stochastic partial differential equations

   
@article{ECP2392,
	author = {Stefan Tappe},
	title = {The Yamada-Watanabe theorem for mild solutions to stochastic partial differential equations},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Stochastic partial differential equation; mild solution; martingale solution; pathwise uniqueness},
	abstract = {We prove the Yamada-Watanabe theorem for semilinear stochastic partial differential equations with path-dependent coefficients. The so-called "method of the moving frame" allows us to reduce the proof to the Yamada-Watanabe theorem for stochastic differential equations in infinite dimensions.},
	pages = {no. 24, 1-13},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2392},    
        url = {http://ecp.ejpecp.org/article/view/2392}}