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Volume 17, Issue 3
Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

Libin Wang

J. Part. Diff. Eq., 17 (2004), pp. 221-240.

Published online: 2004-08

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  • Abstract

For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degen- erate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C¹ solution to the Cauchy problem under an additional hypothesis.

  • Keywords

Quasilinear hyperbolic system Cauchy problem global classical solution formation of singularity life span

  • AMS Subject Headings

35A21 35L45 35L60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-17-221, author = {Libin Wang }, title = {Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {3}, pages = {221--240}, abstract = {

For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degen- erate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C¹ solution to the Cauchy problem under an additional hypothesis.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5389.html} }
TY - JOUR T1 - Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity AU - Libin Wang JO - Journal of Partial Differential Equations VL - 3 SP - 221 EP - 240 PY - 2004 DA - 2004/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5389.html KW - Quasilinear hyperbolic system KW - Cauchy problem KW - global classical solution KW - formation of singularity KW - life span AB -

For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degen- erate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C¹ solution to the Cauchy problem under an additional hypothesis.

Libin Wang . (2004). Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity. Journal of Partial Differential Equations. 17 (3). 221-240. doi:
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