Unique continuation for |?u| = V |Ñu| and related problems.

Autores: Thomas Wolff
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 6, Nº 3-4, 1990, págs. 155-200
Idioma: inglés
Títulos paralelos:
- Continuación única de |?u| = V |Ñu| y problemas afines.
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Resumen
- 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 Î Llocr(Rd), then the differential inequality |?u| = V |Ñu| has the strong unique continuation property in the following sense: If u belongs to the Sobolev space Wloc2,p and if |?u| = V |Ñu| and limR?0 R-N ?|x| < R |Ñu|p' = 0 for all N then u is constant.