A commutator proof of the propagation of polyhomogeneity for semi-linear equations

DOI10.1080/03605309708821270zbMath0876.35139OpenAlexW2010989300MaRDI QIDQ4340663

Mark S. Joshi

Publication date: 22 October 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821270

zbMATH Keywords

semilinear equationscommutation methodpolyhomogeneityRadial operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Cites Work

• Interaction of nonlinear progressing waves for semilinear wave equations
• Calcul symbolique non linéaire pour une onde conormale simple. (Nonlinear symbolic calculus for a simple conormal wave)
• Ondes semi-linéaires conormales par rapport à deux hypersurfaces transverses. (Conormal semilinear waves with respect to two transversal hypersurfaces)
• Fourier integral operators. I
• Fourier integral operators. II
• Classical conormal solution of semilinear systems
• A symbolic construction of the forward fundamental solution of the wave operator
• An intrinsic characterisation of polyhomogeneous Lagrangian distributions