Existence of solutions for a parabolic equation in bounded domain. Issue 3 (17th February 2018)

• Record Type: Journal Article
• Authors: Ghanmi, A.; Kenzizi, T.
• Is Part Of: Applicable analysis. Volume 97:Issue 3(2018)
• Page Start: 337
• Page End: 353
• Publication Date: 2018-02-17
• Subjects: Parabolic equation -- heat equation -- green function; 34J08 -- 35K05 -- 35K55; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1265107
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: In this paper, we study the existence of nonnegative solutions for the parabolic problem where D is a smooth domain of, ( ), the function is such that and is the normalized positive eigenfunction corresponding to the first eigenvalue of and V belongs to a class of time-dependant potentials which can be written as a nonlinear combination of derivatives of a function.