Add to ORKGABSTRACT. Green formulae for elliptic cone differential operators are established. This is achieved by an accurate description of the maximal domain of an elliptic cone differential operator and its formal adjoint; thereby utilizing the concept of a discrete asymptotic type. From this description, the singular coefficients replacing the boundary traces in classical Green formulas are deduced. CONTENT
The Green’s function is widely used in solving boundary value problems for differential equations, t...
AbstractWe define a class of degenerate elliptic operators of second order, for which it is possible...
21 pages, 2 figuresInternational audienceRecently there has been a renewed interest in asymptotic Eu...
AbstractWe prove a theorem of traces which allows us to define the boundary condition of the Neumann...
Abstract. We analyze the behavior of the trace of the resolvent of an ellip-tic cone differential op...
We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes...
AbstractWe give the asymptotics at infinity of a Green function for an elliptic equation with period...
Abstract. This paper is an overview of aspects of the singularities of the zeta function, equivalent...
We consider asecond order elliptic operator o$\mathrm{n} $ $\mathrm{R}^{d} $ , $d\geq 2 $, $L=- \sum...
The asymptotic formulas with large values of parameter for solutions of singular differential equati...
Abstract. The operator e−tA and its trace Tr e−tA, for t> 0, are investigated in the case when A ...
As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic o...
The paper is concerned with the spectral theory of operators. The aim is to investigate the resolven...
summary:We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using t...
Abstract. We give an explicit index formula for a b-elliptic scalar cone op-erator A in terms of the...
The Green’s function is widely used in solving boundary value problems for differential equations, t...
AbstractWe define a class of degenerate elliptic operators of second order, for which it is possible...
21 pages, 2 figuresInternational audienceRecently there has been a renewed interest in asymptotic Eu...
AbstractWe prove a theorem of traces which allows us to define the boundary condition of the Neumann...
Abstract. We analyze the behavior of the trace of the resolvent of an ellip-tic cone differential op...
We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes...
AbstractWe give the asymptotics at infinity of a Green function for an elliptic equation with period...
Abstract. This paper is an overview of aspects of the singularities of the zeta function, equivalent...
We consider asecond order elliptic operator o$\mathrm{n} $ $\mathrm{R}^{d} $ , $d\geq 2 $, $L=- \sum...
The asymptotic formulas with large values of parameter for solutions of singular differential equati...
Abstract. The operator e−tA and its trace Tr e−tA, for t> 0, are investigated in the case when A ...
As a model for elliptic boundary value problems, we consider the Dirichlet problem for an elliptic o...
The paper is concerned with the spectral theory of operators. The aim is to investigate the resolven...
summary:We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using t...
Abstract. We give an explicit index formula for a b-elliptic scalar cone op-erator A in terms of the...
The Green’s function is widely used in solving boundary value problems for differential equations, t...
AbstractWe define a class of degenerate elliptic operators of second order, for which it is possible...
21 pages, 2 figuresInternational audienceRecently there has been a renewed interest in asymptotic Eu...