Classical conormal solution of semilinear systems

DOI10.1080/03605308808820577zbMath0665.35046OpenAlexW2084862701MaRDI QIDQ3816433

Michael C. Reed, Jeffrey Rauch

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03605308808820577

zbMATH Keywords

semilinear systemlinear partial differential operatorssmooth coefficientsfirst orderclassical conormalconormal solutions

Mathematics Subject Classification ID

Related Items (6)

Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations ⋮ A commutator proof of the propagation of polyhomogeneity for semi-linear equations ⋮ Regularité conormale classique des problèmes de Cauchy et de reflexion transverse pour un système 2\(\times 2\) semilinéaire. (Classical conormal regularity for Cauchy problems and transversal reflection for a two by two semilinear system) ⋮ Interactions of semilinear progressing waves in two or more space dimensions ⋮ Singularities generated by the triple interaction of semilinear conormal waves ⋮ Boundedness of planar jump discontinuities for homogeneous hyperbolic systems

Cites Work

• Interaction of nonlinear progressing waves for semilinear wave equations
• The Cauchy problem for semilinear hyperbolic systems with discontinuous data
• Interaction of progressing waves for semilinear wave equations. II
• Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Progressing wave solutions to certain nonlinear mixed problems
• Discontinuous progressing waves for semilinear systems
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