The Continuity of Solutions with Respect to a Parameter to Symmetric Hyperbolic Systems

  • Wataru IchinoseEmail author
Part of the Operator Theory: Advances and Applications book series (OT, volume 213)


In the preceding paper the initial problem to the Schrödinger equations and the Dirac equations were studied with electromagnetic potentials depending on a parameter \(\epsilon\geq0.\) It was proved that if electromagnetic potentials converge as \(\epsilon\rightarrow0\), then so do the solutions to the corresponding equations. In the present paper a generalization of the result on the Dirac equations is given to symmetric hyperbolic systems with coefficients depending continuously on a parameter.


Continuity of solutions symmetric hyperbolic systems parameter 


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© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of Mathematical SciencesShinshu UniversityMatsumotoJapan

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