Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2
Lech Zielinski (2002)
Colloquium Mathematicae
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We describe the asymptotic distribution of eigenvalues of self-adjoint elliptic differential operators, assuming that the first-order derivatives of the coefficients are Lipschitz continuous. We consider the asymptotic formula of Hörmander's type for the spectral function of pseudodifferential operators obtained via a regularization procedure of non-smooth coefficients.