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Representation of solutions and regularity properties for weakly hyperbolic systems


Reference:

Ilia, K. and Michael, R., 2006. Representation of solutions and regularity properties for weakly hyperbolic systems. In: EPRINTS-BOOK-TITLE. Vol. Vol. 164. Basel: Birkhauser Verlag, 53--63. (Operator Theory: Advances and Applications)

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Abstract

Regularity properties of generic hyperbolic systems with diagonalizable principal part will be established in Lp and other function spaces. Sharp regularity of solutions will be discussed. Applications will be given to solutions of scalar weakly hyperbolic equations with non-involutive characteristics. Established representation of solutions and its properties allow to derive spectral asymptotics for elliptic systems with diagonalizable principal part.

Details

Item Type Book Sections
CreatorsIlia, K.and Michael, R.
DepartmentsFaculty of Science > Mathematical Sciences
StatusPublished
ID Code7055

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