Parabolic Anderson model with rough noise in space and rough initial conditions
نویسندگان
چکیده
In this note, we consider the parabolic Anderson model on R+×R, driven by a Gaussian noise which is fractional in time with index H0>1∕2 and space 03∕4. Under general condition initial data, prove existence uniqueness of mild solution obtain its exponential upper bounds for all p-th moments p≥2.
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ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2022
ISSN: ['1083-589X']
DOI: https://doi.org/10.1214/22-ecp506