Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
Репозиторій DSpace/Manakin
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Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
Інший ID:
2010 MSC. 35B05
Посилання:
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.
Підтримка:
The author was supported by the Fundamental Research Programme funded by the Ministry of Education and Science of Ukraine (project 0115U000136).
Дата:
2017
Переглядів:
559
Завантажень:
344
Анотація:
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 ∂ ̄.
