$C^{∞}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space

• Autorzy: Akisato Kubo , Michael Reissig
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the $C^{∞}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations of second order with coefficients non-Lipschitz in t ∈ [0,T] and smooth in x ∈ ℝⁿ.

Kategorie tematyczne

• 35L15: Initial value problems for second-order hyperbolic equations
• 35L80: Degenerate hyperbolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 131-150

Daty

wydano

2003

Twórcy

autor

Akisato Kubo

• Department of Mathematics, School of Health Sciences, Fujita Health University, Toyoake, Aichi 470-1192, Japan

autor

Michael Reissig

• Faculty of Mathematics and Computer Science, Technical University Bergakademie Freiberg, Agricolastr. 1, 09596 Freiberg, Germany

Identyfikatory

DOI

10.4064/bc60-0-11