Global Existence of Classical Solution with Small Initial Total Variation for Quasilinear Linearly Degenerate Hyperbolic Systems
Year: 2003
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 4 : pp. 321–334
Abstract
In this paper, the author proves the global existence of classical solution to the Cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems. This generalizes the corresponding result of A.Bressan for initial data with compact support.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JPDE-5429
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 4 : pp. 321–334
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Linear degeneracy