A POLYHARMONIC EQUATION ON THE SPHERE IN THE THREE–DIMENSIONAL SPACE
نویسندگان
چکیده
We consider a nonhomogeneous polyharmonic equation on the unit sphere in three-dimensional Euclidean space. Sobolev spherical spaces act as functional classes which solutions to are sought. It is proved that for given right-hand side of equation, orthogonal identically-one function, solution exists space and unique there. establish small variations under consideration, its change little corresponding norm.
منابع مشابه
Polyharmonic Approximation on the Sphere
The purpose of this article is to provide new error estimates for a popular type of SBF approximation on the sphere: approximating by linear combinations of Green’s functions of polyharmonic differential operators. We show that the Lp approximation order for this kind of approximation is σ for functions having Lp smoothness σ (for σ up to the order of the underlying differential operator, just ...
متن کاملthe effects of changing roughness on the flow structure in the bends
flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...
the u.s. policy in central asia and its impact on the colored revolutions in the region (the case study of tulip revolution in kyrgyzstan)
چکیده ندارد.
15 صفحه اولfocus on communication in iranian high school language classes: a study of the role of teaching materials in changing the focus onto communication in language classes
چکیده ارتباط در کلاس به عوامل زیادی از جمله معلمان، دانش آموزان، برنامه های درسی و از همه مهم تر، مواد آموزشی وابسته است. در تدریس ارتباطی زبان که تاکید زیادی بر توانش ارتباطی دارد، کتاب درسی به عنوان عامل موثر بر پویایی کلاس محسوب میگردد که درس ها را از طریق فراهم آوردن متن ارتباط کلاسی و هم چنین نوع تمرین زبانی که دانش آموزان در طول فعالیت های کلاسی به آن مشغول اند، کنترل می کند. این حقیقت ک...
15 صفحه اولthe impact of e-readiness on ec success in public sector in iran the impact of e-readiness on ec success in public sector in iran
acknowledge the importance of e-commerce to their countries and to survival of their businesses and in creating and encouraging an atmosphere for the wide adoption and success of e-commerce in the long term. the investment for implementing e-commerce in the public sector is one of the areas which is focused in government‘s action plan for cross-disciplinary it development and e-readiness in go...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ?????????????? ??????? ????
سال: 2022
ISSN: ['2587-876X', '2411-9326']
DOI: https://doi.org/10.25587/svfu.2022.71.31.002