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.
|Title of host publication||Pseudo-Differential Operators and Related Topics|
|Editors||P. Boggiatto, L. Rodino, J. Toft, M. W. Wong|
|Place of Publication||Basel, Switzerland|
|Number of pages||11|
|Publication status||Published - 2006|
|Name||Operator Theory: Advances and Applications|
Kamotski, I., & Ruzhansky, M. (2006). Representation of solutions and regularity properties for weakly hyperbolic systems. In P. Boggiatto, L. Rodino, J. Toft, & M. W. Wong (Eds.), Pseudo-Differential Operators and Related Topics (pp. 53-63). (Operator Theory: Advances and Applications; Vol. 164). Birkhauser Verlag. https://doi.org/10.1007/3-7643-7514-0_4