We study the spectral properties of the compact non-negative self-adjoint operator acting in the anisotropic Sobolev space and give two-sided estimates for the asymptotic behaviour of its eigenvalues , where is a semi-elliptic differential operator of type
and a special trace operator on an anisotropic -set .
Cite this article
Erika Tamási, Eigenvalue Distribution of Semi-Elliptic Operators in Anisotropic Sobolev Spaces. Z. Anal. Anwend. 28 (2009), no. 2, pp. 233–248DOI 10.4171/ZAA/1383