## Abstract The operator __e__^β__tA__^ and its trace Tr __e__^β__tA__^, for __t__ > 0, are investigated in the case when __A__ is an elliptic differential operator on a manifold with conical singularities. Under a certain spectral condition (parameterβellipticity) we obtain a full asymptotic expan
The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator
β Scribed by Chuan-yi Xu
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 580 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Dedicated to the memory of Leonid R. Volevich Let X = (X1, . . . , Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic operators associated with th
It is shown that the heat-kernel expansion (rather than the gradient expansion) of the effective chiral action of the quark loop yields in next-to-leading (i. e., fourth) order an effective low-energy lagrangian which possesses stable soliton solutions. The baryon number-one soliton solution of this