Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\)

DOI10.56754/0719-0646.2402.0211zbMath1493.35120OpenAlexW4292943155MaRDI QIDQ5101661

Jingchun Chen, Cong He

Publication date: 30 August 2022

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56754/0719-0646.2402.0211

zbMATH Keywords

weighted estimatesVlasov-Poisson\(L^p\)-\(L^q\) estimates\(L^p\)-Sobolev

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Local well-posedness of VPFP in hybrid modulation-Lebesgue space ⋮ Local wellposedness of the relativistic Vlasov–Poisson equation in Besov space

Cites Work

• Unnamed Item
• Unnamed Item
• Regularizing effect and local existence for the non-cutoff Boltzmann equation
• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global symmetric solutions of the initial value problem of stellar dynamics
• Large time behavior of the solution to the Landau equation with specular reflective boundary condition
• One-species Vlasov-Poisson-Landau system for soft potentials in ℝ3
• On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• On the asymptotic growth of the solutions of the vlasov-poisson system
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians

This page was built for publication: Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\)