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In the theory of schemes, faithfully
at descent is a very powerful tool. One wants a descent theory
not only for quasi-coherent sheaves and morphisms of schemes (which is rather elementary), but al...
Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution
massless Bose gas boundary value problem
2011/1/21
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
We extend the holomorphic analytic torsion classes of Bismut and K\"ohler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axiomatic definition...
Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem
Necessary geometric the $\dib$-Neumann problem
2010/11/11
We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bou...
Links between different analytic descriptions of constant mean curvature surfaces
mean curvature math
2010/11/1
Transformations between different analytic descriptions of constant mean curvature (CMC) surfaces are established. In particular, it is demonstrated that the system \[ \begin{split} &\partial \psi_{1...