Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\)

DOI10.2140/paa.2023.5.507zbMath1527.35486arXiv2107.03732OpenAlexW3183043418MaRDI QIDQ6070554

Gaspard Ohlmann

Publication date: 23 November 2023

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03732

zbMATH Keywords

Sobolev spaceswave equationfractional derivativeswell-posednessanalysisill-posednessquasilinear wave

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Weak solutions to PDEs (35D30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Singularity in context of PDEs (35A21) Second-order quasilinear hyperbolic equations (35L72)

Related Items (1)

The time-like minimal surface equation in Minkowski space: low regularity solutions

Cites Work

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• Newton polygons as lattice points

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