Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of so...
Збережено в:
| Дата: | 2017 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
|
| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169325 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169325 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1693252020-06-11T01:26:29Z Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane Trofymenko, O.D. In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of some non-negative integer powers of the complex differentiation operators ∂ and ∂ ̄. 2017 Article Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. 1810-3200 2010 MSC. 35B05 http://dspace.nbuv.gov.ua/handle/123456789/169325 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In terms of the Bessel functions we characterize smooth solutions of some convolution equations in the complex plane and prove a two-radius theorem for solutions of homogeneous linear elliptic equations with constant coefficients whose left hand side is representable in the form of the product of some non-negative integer powers of the complex differentiation operators ∂ and ∂ ̄. |
| format |
Article |
| author |
Trofymenko, O.D. |
| spellingShingle |
Trofymenko, O.D. Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane Український математичний вісник |
| author_facet |
Trofymenko, O.D. |
| author_sort |
Trofymenko, O.D. |
| title |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_short |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_full |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_fullStr |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_full_unstemmed |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| title_sort |
convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169325 |
| citation_txt |
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane / O.D. Trofymenko // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 279-294. — Бібліогр.: 11 назв. — англ. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT trofymenkood convolutionequationsandmeanvaluetheoremsforsolutionsoflinearellipticequationswithconstantcoefficientsinthecomplexplane |
| first_indexed |
2023-10-18T22:24:54Z |
| last_indexed |
2023-10-18T22:24:54Z |
| _version_ |
1796155455562579968 |