Proves BDG and maximal inequalities for Lévy-driven stochastic convolutions in Banach spaces, derives Itô formulas, and establishes well-posedness for the stochastic quasi-geostrophic equation.
Fractionally dissipative stochastic quasi-geostrophic type equations on $R^d$
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abstract
Stochastic fractionally dissipative quasi-geostrophic type equation on $R^d$ with a multiplicative Gaussian noise is considered. We prove the existence of a martingale solution. In the 2D sub-critical case we prove also the pathwise uniqueness of the solutions.
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math.PR 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Maximal inequalities and exponential estimates for stochastic convolutions driven by L\'{e}vy-type processes in Banach spaces with application to stochastic quasi-geostrophic equations
Proves BDG and maximal inequalities for Lévy-driven stochastic convolutions in Banach spaces, derives Itô formulas, and establishes well-posedness for the stochastic quasi-geostrophic equation.