Derek W. Robinson

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math.AP2014

Gaussian bounds, strong ellipticity and uniqueness criteria

Derek W. Robinson

Let $h$ be a quadratic form with domain $W_0^{1,2}(\Ri^d)$ given by \[ h(φ)=\sum^d_{i,j=1}(\partial_iφ,c_{ij}\,\partial_jφ) \] where $c_{ij} = c_{j i}$ are real-valued, locally bounde…

math.AP2006

Second-order operators with degenerate coefficients

A. F. M. ter Elst, Derek W. Robinson, Adam Sikora +1

We consider properties of second-order operators $H = - \sum_{i, j = 1}^{d} \partial_{i} c_{ij} \partial_{j}$ on $\Ri^d$ with bounded real symmetric measurable coefficients. We assume…