A general regularity theorem for semilinear hyperbolic waves in one space dimension

DOI10.1090/S0273-0979-1982-15011-XzbMath0482.35055OpenAlexW2039044405MaRDI QIDQ3940203

Michael C. Reed, Jeffrey Rauch

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15011-x

zbMATH Keywords

propagation of singularitieslocally bounded solutionssemilinear strictly hyperbolic systems in one space variable

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60)

Cites Work

• Propagation of singularities for semilinear hyperbolic equations in one space variable
• Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation

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