Nonresonant smoothing in Sobolev spaces for coupled wave + transport equations.

DOI10.1016/S0007-4497(03)00060-5zbMath1054.35012MaRDI QIDQ1415374

Christophe Pallard

Publication date: 3 December 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

regularity of solutionspropagation speedVelocity averages

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) Resonance in context of PDEs (35B34)

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A POINTWISE BOUND ON THE ELECTROMAGNETIC FIELD GENERATED BY A COLLISIONLESS PLASMA ⋮ NON-RESONANT COUPLING OF WAVE-TRANSPORT SYSTEMS IN DISTORTED GEOMETRY

Cites Work

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• \(L^p\) estimates for the waves equation
• Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system
• Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system

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