Estimates and Spectral Asymptotics for Systems with Multiplicities |
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Authors: | I V Kamotski M V Ruzhansky |
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Institution: | (1) St. Petersburg Branch of V. A. Steklov Mathematical Institute (POMI), St. Petersburg, Russia;(2) Imperial College, London |
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Abstract: | 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. |
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Keywords: | system with multiplicities spectral asymptotics Fourier integral operator Sobolev space |
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