Home
Deutsch
Advanced Search
Browse by ...
Publication overview
Contact persons
Help
Publ. Version/Full Text
DOI
 |
Open Access Gold (Paid Option) |
|
as soon as is submitted to ZB.
Linear and nonlinear non-Fredholm operators and their applications.
Electron. Res. Arch. 30, 515-534 (2022)
In this survey we discuss the recent results on the existence in the sense of sequences of solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we deal with the solvability in the sense of sequences for some fourth order non-Fredholm operators, such that the methods of the spectral and scattering theory for Schrödinger type operators are used for the analysis. Moreover, we present the easily verifiable necessary condition of the preservation of the nonnegativity of the solutions of a system of parabolic equations in the case of the anomalous diffusion with the negative Laplacian in a fractional power in one dimension, which imposes the necessary form of such system of equations that must be studied mathematically. This class of systems of PDEs has a wide range of applications. We conclude the survey with several new results nowhere published concerning the solvability in the sense of sequences for the generalized Poisson type equation with a scalar potential.
Altmetric
Additional Metrics?
Edit extra informations
Login
Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Anomalous Diffusion ; Non-fredholm Operators ; Nonnegativity Of Solutions ; Solvability Conditions
ISSN (print) / ISBN
2688-1594
e-ISSN
2688-1594
Journal
Electronic Research Archive
Quellenangaben
Volume: 30,
Issue: 2,
Pages: 515-534
Publisher
American Institute of Mathematical Sciences (AIMS)
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)