Some asymptotic formulas for elliptic operators in \(\mathbb{R}^ n\) that are far from self-adjoint (Q1363293)

From MaRDI portal





scientific article; zbMATH DE number 1050507
Language Label Description Also known as
English
Some asymptotic formulas for elliptic operators in \(\mathbb{R}^ n\) that are far from self-adjoint
scientific article; zbMATH DE number 1050507

    Statements

    Some asymptotic formulas for elliptic operators in \(\mathbb{R}^ n\) that are far from self-adjoint (English)
    0 references
    0 references
    8 October 1997
    0 references
    I study the distribution of eigenvalues of the closed extension \(A\) of the operator \[ A_0= \langle x\rangle^\theta \sum_{|\alpha |=2m} a_\alpha(x) D^\alpha_x+ \sum_{|\alpha |<2m} b_\alpha (x)D^\alpha_x, \quad D(A_0)= C^\infty_0 (\mathbb{R}^n)^l, \] that has a discrete spectrum.
    0 references
    discrete spectrum
    0 references

    Identifiers