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-Oct-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
Appears in Collections:Articles