• Helge Holden
  • Nils Henrik Risebro
Part of the Applied Mathematical Sciences book series (AMS, volume 152)


In applications t normally denotes the time variable, while x describes the spatial variation in m space dimensions. The unknown function u (as well as each fj) can be a vector, in which case we say that we have a system of equations, or u and each fj can be a scalar.


Weak Solution Rarefaction Wave Admissible Solution Admissible Discontinuity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsNorwegian University of Science and TechnologyTrondheimNorway
  2. 2.Department of MathematicsUniversity of OsloOsloNorway

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