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

Jann Long Chern; Maria Gualdani

doi:10.4310/MRL.2022.V29.N4.A2

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

Jann Long Chern, Maria Gualdani

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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^∞(0, T, L^p(R³)) for some p > 3/2. The proof uses a weighted Poincaré-Sobolev inequality recently introduced in [11].

Original language	English
Pages (from-to)	945-960
Number of pages	16
Journal	Mathematical Research Letters
Volume	29
Issue number	4
DOIs	https://doi.org/10.4310/MRL.2022.V29.N4.A2
Publication status	Published - 2022

ASJC Scopus subject areas

General Mathematics

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10.4310/MRL.2022.V29.N4.A2

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title = "Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions",

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∞(0, T, Lp(R3)) for some p > 3/2. The proof uses a weighted Poincar{\'e}-Sobolev inequality recently introduced in [11].",

author = "Chern, {Jann Long} and Maria Gualdani",

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AU - Gualdani, Maria

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AB - 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∞(0, T, Lp(R3)) for some p > 3/2. The proof uses a weighted Poincaré-Sobolev inequality recently introduced in [11].

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JO - Mathematical Research Letters

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

Abstract

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