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

Tom 60 / 2003

Akisato Kubo, Michael Reissig Banach Center Publications 60 (2003), 131-150 MSC: Primary 35L80; Secondary 35L15 DOI: 10.4064/bc60-0-11

Streszczenie

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

Autorzy

  • Akisato KuboDepartment of Mathematics
    School of Health Sciences
    Fujita Health University
    Toyoake, Aichi 470-1192
    Japan
    e-mail
  • Michael ReissigFaculty of Mathematics and Computer Science
    Technical University Bergakademie Freiberg
    Agricolastr. 1
    09596 Freiberg
    Germany
    e-mail

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