Local Well-Posedness for the Boltzmann Equation with Very Soft Potential and Polynomially Decaying Initial Data

DOI10.1137/21M1427504zbMath1489.35178arXiv2106.09062OpenAlexW3172736366MaRDI QIDQ5078592

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Publication date: 23 May 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09062

zbMATH Keywords

Boltzmann equationlocal well-posednessinhomogeneousslow decayCarleman decompositionvery soft potential

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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