\(L^p\)-estimates for a class of elliptic operators with unbounded coefficients in \(\mathbb{R}^N\). (English) Zbl 1129.35420

Metafune, Giorgio; Pallara, Diego; Vespri, Vincenzo

Houston J. Math. 31, No. 2, 605-620 (2005).

Summary: We prove \(L^p\)-estimates for second order elliptic operator in \(\mathbb{R}^N\) with unbounded, globally Lipschitz coefficients.

MSC:

35J70	Degenerate elliptic equations
35K15	Initial value problems for second-order parabolic equations
35K65	Degenerate parabolic equations