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math.AP2002★ 1 cited
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…
math.AP2002
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…