Bilinear embedding for perturbed divergence-form operator with complex
coefficients on irregular domains
Bilinear embedding for perturbed divergence-form operator with complex
coefficients on irregular domains
Let $\Omega\subseteq\mathbb{R}^{d}$ be open, $A$ a complex uniformly strictly accretive $d\times d$ matrix-valued function on $\Omega$ with $L^{\infty}$ coefficients, $b$ and $c$ two $d$-dimensional vector-valued functions on $\Omega$ with $L^{\infty}$ coefficients and $V$ a locally integrable nonegative function on $\Omega$. Consider the operator ${\mathscr L}^{A,b,c,V}=-{\rm div}\,(A\nabla) + \left\langle \nabla , …