A nonlinear inequality and applications
N. S. Hoang, A. G. Ramm
TL;DR
This paper introduces a nonlinear inequality, analyzes the decay rate of its solutions, and demonstrates its applications in studying dynamical systems and nonlinear PDEs for global solution existence.
Contribution
It formulates a new nonlinear inequality and provides decay estimates, advancing the analysis of nonlinear evolution equations and their solutions.
Findings
Derived decay rate estimates for solutions.
Applied inequality to nonlinear PDE global existence.
Enhanced understanding of solution behavior in dynamical systems.
Abstract
A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to the study of global existence of solutions to nonlinear PDE.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis · Advanced Mathematical Physics Problems