Note on the weak-strong uniqueness criterion for the β-QG in Morrey-Campanato space
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文摘
Consider the β  -quasi-geostrophic equations with the initial data θ0∈L2(R2). Let θ   and View the MathML source be two weak solutions with the same initial value θ0. If θ satisfies the energy inequality and if
View the MathML source
where View the MathML source denotes the homogeneous Morrey–Campanato space, then we have View the MathML source. Due to the embedding relation View the MathML source with 1 < p < q < ∞, we see that our result is an improvement of the corresponding result given by Zhao and Liu (2013).

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