Estimates and Spectral Asymptotics for Systems with Multiplicities
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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.
Key wordssystem with multiplicities spectral asymptotics Fourier integral operator Sobolev space
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