7 citations · 8 across the 5 of their papers we have counts for
5 papers
Pointwise Lower bounds on the Heat Kernels of Uniformally Elliptic Operators in Bounded Regions
Narinder S Claire
We obtain pointwise lower bounds for heat kernels of higher order differential operators with Dirichlet boundary conditions on bounded domains in . The bounds exhibit explici…
The Spectral Mapping Theorem
Narinder S Claire
We give a direct non-abstract proof of the Spectral Mapping Theorem for the Helffer-Sjöstrand functional calculus for linear operators on Banach spaces with real spectra and conseq…
Functional Calculus for Semi-Bounded Operators
Narinder Claire
We build on the work by Davies, extending the Helffer-Sjöstrand Functional Calculus domain for semi-bounded operators on Banach spaces given a priori controlled growth of the resol…
Pointwise Lower Bounds on the Heat Kernels of Higher Order Schrödinger Operators
Narinder Claire
We apply Davies' method for obtaining pointwise lower bounds on the heat kernels of higher-order differential operators to obtain pointwise lower bounds in the presence of a polyno…
Gaussian Upper Bounds on Heat Kernels of Uniformly Elliptic Operators on Bounded Domains
Narinder Claire
We obtain Gaussian upper bounds for heat kernels of higher order differential operators with Dirichlet boundary conditions on bounded domains in . The bounds exhibit explicit…