We consider elliptic and hyperbolic systems with diagonalizable principal part. Characteristics are allowed to have variable multiplicities. Assuming that the characteristics are generic, we give estimates for solutions of a hyperbolic Cauchy problem in L-p spaces. The first and second terms of the spectral asymptotics are obtained for the corresponding elliptic system.
|Number of pages||3|
|Journal||Functional Analysis and Its Applications|
|Publication status||Published - 2005|