標題: | On a new class of fractional partial differential equations |
作者: | Shieh, Tien-Tsan Spector, Daniel E. 應用數學系 Department of Applied Mathematics |
關鍵字: | Fractional gradient;fractional Sobolev inequalities;fractional partial differential equations;Bessel potential spaces |
公開日期: | 1-十月-2015 |
摘要: | In this paper, we study a new class of fractional partial differential equations which are obtained by minimizing variational problems in fractional Sobolev spaces. We introduce a notion of fractional gradient which has the potential to extend many classical results in the Sobolev spaces to the nonlocal and fractional setting in a natural way. |
URI: | http://dx.doi.org/10.1515/acv-2014-0009 http://hdl.handle.net/11536/128245 |
ISSN: | 1864-8258 |
DOI: | 10.1515/acv-2014-0009 |
期刊: | ADVANCES IN CALCULUS OF VARIATIONS |
起始頁: | 321 |
結束頁: | 336 |
顯示於類別: | 期刊論文 |