Parabolic equations with operator nonlinearity
In this paper, we consider partial differential equations (PDE) of parabolic type with functional nonlinearity in the reaction summand. Our goal is to give the answer of the question if there exist a set of smooth functions satisfying the inequality [Formula: see text], where [Formula: see text] is a parabolic operator in the parabolic PDE with a functional nonlinearity. To this end, we use some modification of the implicit function theorem. Finally, we give an example illustrating the theory.
Authors
- A. I. Lazu
- D. Kolev (ORCID: https://orcid.org/0000-0002-0050-8256)
- Tzanko Donchev (ORCID: https://orcid.org/0000-0002-0750-395X)
- Nikolay Kitanov
- Saba Iftikhar
Institutions
- South-West University "Neofit Rilski" (BG)
- University of Architecture, Civil Engineering and Geodesy (BG)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
- Gheorghe Asachi Technical University of Iași (RO)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2024-10-11
- DOI
- https://doi.org/10.1142/s1793557124501183
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00