Weak Moment of a Class of Stochastic Heat Equation with Martingale-valued Harmonic Function
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 3, Issue 1
Abstract
A study of a non-linear parabolic SPDEs of the form with as the space-time white noise and a space-time harmonic function was done. The function is Lipschitz continuous and the -generator of a Lévy process. Some precise condition for existence and uniqueness of the solution were given and we show that the solution grows weakly(in law/distribution) in time (for large ) at most a precise exponential rate for the ; and grows in time at most a precise exponential rate for the case of generator of an alpha-stable process.
Authors and Affiliations
Ejighikeme Mcsylvester Omaba
Keywords
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- EP ID EP338350
- DOI 10.9734/ARJOM/2017/31665
- Views 94
- Downloads 0
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