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arXiv · 1910.06216

Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Jann-Long Chern·Maria Gualdani
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Abstract

We are concerned with the uniqueness of weak solution to the spatially homogeneous Landau equation with Coulomb interactions under the assumption that the solution is bounded in the space $L^\infty(0,T,L^p(\R^3))$ for some $p>3/2$. The proof uses a weighted Poincar\'e-Sobolev inequality recently introduced in \cite{GG18}.

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Jann-Long Chern, Maria Gualdani. 2019-10-14. Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions. https://arxiv.org/abs/1910.06216

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