ON THE SPECTRAL THEORY OF STRONGLY ELLIPTIC DIFFERENTIAL OPERATORS

On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators

The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions

Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...

On the Spectral Theory of Strongly Elliptic

In a recent note in these Proceedings, ' we have discussed existence theorems for a general class of boundary-value problems for elliptic partial differential equations, basing our argument upon general a priori estimates for the LI and Holder norms for the highest order derivatives appearing in the differential operator. We mentioned at the beginning of that discussion that the techniques whic...

Lp SPECTRAL THEORY OF HIGHER-ORDER ELLIPTIC DIFFERENTIAL OPERATORS

on the spectral properties of degenerate non-selfadjoint elliptic systems of differential operators