论文信息 - Square roots of elliptic second order divergence operators on strongly lipschitz domains:L2 theory

Square roots of elliptic second order divergence operators on strongly lipschitz domains:L2 theory

We prove the Kato conjecture for square roots of elliptic second order non-self-adjoint operators in divergence formL = -div(A∇) on strongly Lipschitz domains in ℝn, n≥2, subject to Dirichlet or to Neumann boundary conditions. The method relies on a transference procedure from the recent positive result on ℝn in [2].

P. Tchamitchian | P. Auscher | P. Auscher | Ph. Tchamitchian

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