Portal de Periódicos da CAPES

$L^p$-inequalities for the laplacian and unique continuation

1981; Association of the Annals of the Fourier Institute; Volume: 31; Issue: 3 Linguagem: Inglês

10.5802/aif.843

1777-5310

Werner O. Amrein, A. M. Berthier, Valeriu Paul Georgescu,

Nonlinear Partial Differential Equations

This is then used to derive the unique continuation property for the differential inequality |Δf(x)|≤|v(x)||f(x)| under suitable local integrability assumptions on the function v.