关于具有$L^p_{loc}$系数的二维Hamilton迁移方程
On Two-dimensional Hamiltonian Transport Equations with $L^p_{loc}$ coefficients
摘要：
我们考虑了$\Lde_{loc}$中的二维自治无散度向量场。在流动方向和临界点集合的条件下，证明了稳定的a.e.流和相关的输运方程的重整化解。
英文摘要：
We consider two-dimensional autonomous divergence free vector-fields in $\Lde_{loc}$. Under a condition on direction of the flow and on the set of critical points, we prove the existence and uniqueness of a stable a.e. flow and of renormalized solutions of the associated transport equation.
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