Unique continuation for elliptic equations and an abstract differential inequality

K. Senator

Studia Mathematica (1994)

  • Volume: 108, Issue: 1, page 5-20
  • ISSN: 0039-3223

Abstract

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We consider a class of elliptic equations whose leading part is the Laplacian and for which the singularities of the coefficients of lower order terms are described by a mixed L p -norm. We prove that the zeros of the solutions are of at most finite order in the sense of a spherical L²-mean.

How to cite

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Senator, K.. "Unique continuation for elliptic equations and an abstract differential inequality." Studia Mathematica 108.1 (1994): 5-20. <http://eudml.org/doc/216041>.

@article{Senator1994,
abstract = {We consider a class of elliptic equations whose leading part is the Laplacian and for which the singularities of the coefficients of lower order terms are described by a mixed $L^p$-norm. We prove that the zeros of the solutions are of at most finite order in the sense of a spherical L²-mean.},
author = {Senator, K.},
journal = {Studia Mathematica},
keywords = {unique continuation for elliptic equations; zeros of the solutions},
language = {eng},
number = {1},
pages = {5-20},
title = {Unique continuation for elliptic equations and an abstract differential inequality},
url = {http://eudml.org/doc/216041},
volume = {108},
year = {1994},
}

TY - JOUR
AU - Senator, K.
TI - Unique continuation for elliptic equations and an abstract differential inequality
JO - Studia Mathematica
PY - 1994
VL - 108
IS - 1
SP - 5
EP - 20
AB - We consider a class of elliptic equations whose leading part is the Laplacian and for which the singularities of the coefficients of lower order terms are described by a mixed $L^p$-norm. We prove that the zeros of the solutions are of at most finite order in the sense of a spherical L²-mean.
LA - eng
KW - unique continuation for elliptic equations; zeros of the solutions
UR - http://eudml.org/doc/216041
ER -

References

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