Symmetric hyperbolic systems in algebras of generalized functions and distributional limits

Autor: Hoermann, Guenther, Spreitzer, Christian
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv