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Necessary Conditions for Hyperbolic Systems

  • Antonio Bove
  • Tatsuo Nishitani
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 52)

Abstract

In this article we study the Cauchy problem for a first order system
$$ L(x,D) = {D_0} + \sum\limits_{j = 1}^n {{A_j}(x){D_j} + B(x) = {L_1}(x,D) + {L_0}(x)} $$
where Ai(x) andB(x)arerxrsmooth matrices and
$$ {L_1}(x,D) = {D_0} = \sum\limits_{J = 1}^n {{A_j}(x){D_j},{L_0}(x) = B} (x) $$

Keywords

Cauchy Problem Asymptotic Solution Hyperbolic System Homogeneous Polynomial Geometric Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Antonio Bove
    • 1
    • 2
  • Tatsuo Nishitani
    • 3
  1. 1.Dipartimento di MatematicaUniversità degli Studi di BolognaBolognaItaly
  2. 2.Istituto Nazionale di Fisica Nucleare Sezione di BolognaItaly
  3. 3.Department of MathematicsOsaka UniversityToyonaka OsakaJapan

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