Currently displaying 1 – 17 of 17

Showing per page

Order by Relevance | Title | Year of publication

Unique continuation for |Δu| ≤ V |∇u| and related problems.

Thomas H. Wolff — 1990

Revista Matemática Iberoamericana

Much of this paper will be concerned with the proof of the following Theorem 1. Suppose d ≥ 3, r = max {d, (3d - 4)/2}. If V ∈ Lloc r(Rd), then the differential inequality |Δu| ≤ V |∇u| has the strong unique continuation property in the following sense: If u belongs to the Sobolev space Wloc 2,p and if |Δu| ≤ V |∇u| and ...

Thin sets in nonlinear potential theory

Lars-Inge Hedberg;  Thomas H. Wolff — 1983

Annales de l'institut Fourier

Let L α q ( R D ) , α > 0 , 1 < q < ∞ , denote the space of Bessel potentials f = G α * g , g ∈ L q , with norm ∥ f ∥ α , q = ∥ g ∥ q . For α integer L α q can be identified with the Sobolev space H α , q . One can associate a potential theory to these spaces much in the same way as classical potential theory is associated to the space H 1 ; 2 , and a considerable part of the theory was carried over to this more general context around 1970. There were difficulties extending the theory of thin sets, however. By means of a new inequality, which characterizes the positive cone...

Page 1

Download Results (CSV)