Displaying similar documents to “Weighted estimates for differential operators with operator-valued coefficients”

On the eigenvalues of a class of hypo-elliptic operators. IV

Johannes Sjöstrand (1980)

Annales de l'institut Fourier

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Let P be a selfadjoint classical pseudo-differential operator of order > 1 with non-negative principal symbol on a compact manifold. We assume that P is hypoelliptic with loss of one derivative and semibounded from below. Then exp ( - t P ) , t 0 , is constructed as a non-classical Fourier integral operator and the main contribution to the asymptotic distribution of eigenvalues of P is computed. This paper is a continuation of a series of joint works with A. Menikoff.

Unique continuation for elliptic equations and an abstract differential inequality

K. Senator (1994)

Studia Mathematica

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We consider a class of elliptic equations whose leading part is the Laplacian and for which the singularities of the coefficients of lower order terms are described by a mixed L p -norm. We prove that the zeros of the solutions are of at most finite order in the sense of a spherical L²-mean.