|
| Име: |
РАДОСТИН ХРИСТОВ ЛЕФТЕРОВ |
| Месторабота: |
Технически университет - Габрово |
| Длъжност (звание): |
Асистент, висше училище |
| Катедра: |
Математика, информатика и природни науки |
| Кабинет(и): |
1338 |
| Служебен тел.: |
066 827 32 |
| E-mail1: |
|
|
| Съдържание:
Публикации (3)
|
| Публикация: №1 | Lefterov RH, D. Todorov T. An Inverse Inequality for Fractional Sobolev Norms in Unbounded Domains. Contemp. Math. [Internet]. 2024 Dec. 6 [cited 2024 Dec. 9];5(4):5991-6003 | | Издателство: | Universal Wiser Publisher | | Изд.год.: | 2024 | | Вид: | Научна публикация - Статия в чужд. списание | | Абстракт: | The nonlocal operators have found applications in various areas of contemporary science. The anomalous diffusion phenomena have been modeled by the fractional Poisson boundary-value problem. Electromagnetic fluids have been described by fractional differential equations. The fractional differential operators have found applications in material sciences, planar and space elasticity, probabilistic theory, harmonic analysis, and even in finance. The inverse inequality plays an important role in Numerical Analysis. The well-known results on inverse inequalities have been obtained in bounded domains and finite-dimensional spaces. Naturally, a new challenge arises to obtain inverse inequalities in the fractional Sobolev spaces. This paper is devoted to differential inequalities between fractional Sobolev norms. We expand the notion of a monotone function into a new notion supermonotone function and rigorously prove an inverse inequality for a class of differentiable functions in unbounded domains. Examples that demonstrate the theory are presented. | | Web: | https://doi.org/10.37256/cm.5420245192 | |
| Публикация: №2 | Todorova-Lazarova, V., P. Ivanova, R. Lefterov. A Nonlinear Approach to Teaching the Mean Value Theorems. Part I: A Description of the Method, International Scientific Conference, 21-22 November 2024, Gabrovo, ISSN: 2603-378X | | Издателство: | International Scientific Conference, 21-22 November 2024, Gabrovo | | Изд.год.: | 2024 | | Вид: | Научна публикация - Доклад от межд. конф. в Б-я | |
| Публикация: №3 | Todorova-Lazarova, V., P. Ivanova, R. Lefterov. A Nonlinear Approach to Teaching the Mean Value Theorems. Part II: New Theorems and Graphical Representations, International Scientific Conference, 21-22 November 2024, Gabrovo, ISSN, 2603-378X | | Издателство: | International Scientific Conference, 21-22 November 2024, Gabrovo | | Изд.год.: | 2024 | | Вид: | Научна публикация - Доклад от межд. конф. в Б-я | |
|