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

Akisato Kubo; Michael Reissig

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 131-150
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Akisato Kubo, and Michael Reissig. "$C^{∞}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space." Banach Center Publications 60.1 (2003): 131-150. <http://eudml.org/doc/282536>.

@article{AkisatoKubo2003,
abstract = {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.},
author = {Akisato Kubo, Michael Reissig},
journal = {Banach Center Publications},
keywords = {quasilinear; hyperbolic; non-Lipschitz coefficients},
language = {eng},
number = {1},
pages = {131-150},
title = {$C^\{∞\}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space},
url = {http://eudml.org/doc/282536},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Akisato Kubo
AU - Michael Reissig
TI - $C^{∞}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 131
EP - 150
AB - 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.
LA - eng
KW - quasilinear; hyperbolic; non-Lipschitz coefficients
UR - http://eudml.org/doc/282536
ER -

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