Eigenva1ue Distribution of Invariant Linear Second Order Elliptic Differential Operators with Constant Coefficients | Zendy

Martin Belger | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Eigenva1ue Distribution of Invariant Linear Second Order Elliptic Differential Operators with Constant Coefficients

Author(s) -

Martin Belger

Publication year - 1993

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/566

Subject(s) - constant coefficients , mathematics , differential operator , constant (computer programming) , mathematical analysis , invariant (physics) , linear differential equation , distribution (mathematics) , elliptic operator , differential equation , mathematical physics , computer science , programming language

Let €3 be a properly discontinuous group of affine transformations acting onan n-dimensional affine space and P a €3-invariant linear elliptic differential operator with constant coefficients. In this paper the €3-autornorphic eigenvalue problem to P is solved. For the number N(X) of the eigenvalues which are less than or equal to the "frequency bound" A 2 the asymptotic estimation N(X) = c0xi . c1xi • O(Xn_2*2'(i*i)) is given with co and c1 being interesting geometric invariants. . •. . .

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research