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math.PR2018
Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
Prakash Chakraborty, Xia Chen, Bo Gao +1
In this note we consider the parabolic Anderson model in one dimension with time-independent fractional noise in space. We consider the case and get exist…
math.PR2018
On the necessary and sufficient conditions to solve a heat equation with general additive Gaussian noise
Yaozhong Hu, Yanghui Liu, Samy Tindel
In this note we consider stochastic heat equation with general additive Gaussian noise. Our aim is to derive some necessary and sufficient conditions on the Gaussian noise in order…