KFU. Card publication. Inner uniqueness theorem for second order linear elliptic equation with constant coefficient

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INNER UNIQUENESS THEOREM FOR SECOND ORDER LINEAR ELLIPTIC EQUATION WITH CONSTANT COEFFICIENT

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Bikchantaev Ildar Akhmedovich, author

Bibliographic description in the original language

Bikchantaev I. A. Inner uniqueness theorem for second order linear elliptic equation with constant coefficients//Russian Mathematics (Iz. VUZ), 2015, Vol. 59, No. 5, pp. 13-16.

Annotation

Abstract?We consider solution f to a linear elliptic differential equation of second order, and prove that it vanishes if zeros of f condense to two points along non-collinear rays. The requirement of non-collinearity of the rays is essential if the roots of the characteristic equation are distinct. In the case of equal roots of the characteristic equation this property is valid if and only if the rays do not belong to common straight line.

Keywords

elliptic equation, uniqueness theorem

The name of the journal

Russian Mathematics

URL

http://www.scopus.com/authid/detail.uri?origin=resultslist&authorId=6603139056&zone=

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=121425&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchantaev Ildar Akhmedovich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Bikchantaev I. A. Inner uniqueness theorem for second order linear elliptic equation with constant coefficients//Russian Mathematics (Iz. VUZ), 2015, Vol. 59, No. 5, pp. 13-16.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=121425&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	Abstract?We consider solution f to a linear elliptic differential equation of second order, and prove that it vanishes if zeros of f condense to two points along non-collinear rays. The requirement of non-collinearity of the rays is essential if the roots of the characteristic equation are distinct. In the case of equal roots of the characteristic equation this property is valid if and only if the rays do not belong to common straight line.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	elliptic equation	ru_RU
dc.subject	uniqueness theorem	ru_RU
dc.title	Inner uniqueness theorem for second order linear elliptic equation with constant coefficient	ru_RU
dc.type	Articles in international journals and collections	ru_RU