Infinite-Dimensional Degree Theory and Ramer’S Finite Co-Dimensional Differential Forms
Sign Up to like & getrecommendations! Published in 2021 at "Quarterly Journal of Mathematics"
DOI: 10.1093/qmath/haab022
Abstract: Infinite-dimensional degree theory, especially for Fredholm maps with positive index as developed with Tromba, is combined with Ramer’s unpublished thesis work on finite co-dimensional differential forms. As an illustrative example, the approach of Nicolaescu and… read more here.
Keywords: differential forms; dimensional degree; finite dimensional; degree theory ... See more keywords
A Note on Positivity of Two-Dimensional Differential Operators
Sign Up to like & getrecommendations! Published in 2017 at "Filomat"
DOI: 10.2298/fil1714651a
Abstract: We consider the two-dimensional differential operator $A^{(t,x)}u(t,x)=-a_{11}% \left( t,x\right) u_{tt}-a_{22}(t,x)u_{xx}+\sigma u$ defined on functions on the half-plane $\mathbb{R}^{+}\times \mathbb{R}$ with the boundary condition $u(0,x)=0,$ $x\in \mathbb{R}$ where $a_{ii}(t,x),$ $i=1,2$ are continuously differentiable and satisfy the… read more here.
Keywords: dimensional differential; times mathbb; mathbb times; two dimensional ... See more keywords