Abstract
The existence and uniqueness of the solutions are proved for a class of fourth-order stochastic heat equations driven by multi-parameter fractional noises. Furthermore the regularity of the solutions is studied for the stochastic equations and the existence of the density of the law of the solution is obtained.
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Supported by the School of Mathematics and LPMC at Nankai University and the NSF of China (Grant No. 10871103)
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Wei, T.T. The high-order SPDEs driven by multi-parameter fractional noises. Acta. Math. Sin.-English Ser. 26, 1943–1960 (2010). https://doi.org/10.1007/s10114-010-8179-3
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DOI: https://doi.org/10.1007/s10114-010-8179-3