Dalang, Robert C.Sanz-Sole, Marta2025-06-032025-06-032025-06-022025-05-2510.1007/s40072-025-00366-zhttps://infoscience.epfl.ch/handle/20.500.14299/250955WOS:001493990600001We consider a stochastic PDE driven by a parabolic second order partial differential operator with non-constant coefficients and with a nonlinear random external forcing given by a Gaussian noise that is white in time and spatially homogeneous. We prove the existence and uniqueness of a random field solution to this SPDE. Our main result concerns the space-time sample path H & ouml;lder-continuity properties of the solution. The H & ouml;lder exponents that we obtain are essentially optimal.EnglishParabolic stochastic partial differential equationsfactorization methodsample path propertiestext::journal::journal article::research article