Unique continuation with weak type lower order terms: The variable coefficient case.

Guozhen Lu

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 1, page 187-200
  • ISSN: 0214-1493

Abstract

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This paper deals with the unique continuation problems for variable coefficient elliptic differential equations of second order. We will prove that the unique continuation property holds when the variable coefficients of the leading term are Lipschitz continuous and the coefficients of the lower order terms have small weak type Lorentz norms. This will improve an earlier result of T. Wolff in this direction.

How to cite

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Lu, Guozhen. "Unique continuation with weak type lower order terms: The variable coefficient case.." Publicacions Matemàtiques 39.1 (1995): 187-200. <http://eudml.org/doc/41213>.

@article{Lu1995,
abstract = {This paper deals with the unique continuation problems for variable coefficient elliptic differential equations of second order. We will prove that the unique continuation property holds when the variable coefficients of the leading term are Lipschitz continuous and the coefficients of the lower order terms have small weak type Lorentz norms. This will improve an earlier result of T. Wolff in this direction.},
author = {Lu, Guozhen},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales elípticas; Coeficiente; Continuidad; unique continuation; Lipschitz coefficients},
language = {eng},
number = {1},
pages = {187-200},
title = {Unique continuation with weak type lower order terms: The variable coefficient case.},
url = {http://eudml.org/doc/41213},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Lu, Guozhen
TI - Unique continuation with weak type lower order terms: The variable coefficient case.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 1
SP - 187
EP - 200
AB - This paper deals with the unique continuation problems for variable coefficient elliptic differential equations of second order. We will prove that the unique continuation property holds when the variable coefficients of the leading term are Lipschitz continuous and the coefficients of the lower order terms have small weak type Lorentz norms. This will improve an earlier result of T. Wolff in this direction.
LA - eng
KW - Ecuaciones diferenciales elípticas; Coeficiente; Continuidad; unique continuation; Lipschitz coefficients
UR - http://eudml.org/doc/41213
ER -

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