Qualitative Properties of Solutions of Equations and Inequalities with KPZ-Type Nonlinearities

For quasilinear partial differential and integrodifferential equations and inequalities containing nonlinearities of the Kardar—Parisi—Zhang type, various (old and recent) results on qualitative properties of solutions (such as the stabilization of solutions, blow-up phenomena, long-time decay of solutions, and others) are presented. Descriptive examples demonstrating the Bitsadze approach (the technique of monotone maps) applied in this research area are provided.

Authors
Journal
Publisher
MDPI AG
Number of issue
4
Language
English
Pages
990
Status
Published
Volume
11
Year
2023
Organizations
  • 1 Peoples Friendship University of Russia
Keywords
quasilinear equations and inequalities; KPZ-nonlinearities; qualitative properties of solutions; methods of monotonous maps; blow-up; stabilization
Date of creation
07.03.2023
Date of change
07.03.2023
Short link
https://repository.rudn.ru/en/records/article/record/93304/
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