Note on abstract elliptic equations with nonlocal boundary in time condition

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:4
Note on abstract elliptic equations with nonlocal boundary in time condition

Note on abstract elliptic equations with nonlocal boundary in time condition

Pages : 551-558

View : 12 | Download : 7

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :Our main purpose of this paper is to study the linear elliptic equation with nonlocal in time condition. The problem is taken in abstract Hilbert space $H$. In concrete form, the elliptic equation has been extensively investigated in many practical areas, such as geophysics, plasma physics, bioelectric field problems. Under some assumptions of the input data, we obtain the well-posed result for the solution. In the first part, we study the regularity of the solution. In the second part, we investigate the asymptotic behaviour when some paramteres tend to zero.
Keywords : Cauchy problem, elliptic equations, well posedness, regularity

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.