Mathematics – Analysis of PDEs
Scientific paper
2011-07-29
Mathematics
Analysis of PDEs
Scientific paper
We study existence, uniqueness, and distributional aspects of generalized solutions to the Cauchy problem for first-order symmetric (or Hermitian) hyperbolic systems of partial differential equations with Colombeau generalized functions as coefficients and data. The proofs of solvability are based on refined energy estimates on lens-shaped regions with spacelike boundaries. We obtain several variants and also partial extensions of previous results and provide aspects accompanying related recent work by C. Garetto and M. Oberguggenberger.
Hoermann Guenther
Spreitzer Christian
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