On Behavior of Solutions of Degenerated Nonlinear Parabolic Equations
T.S. Gadjiev, R.A. Rasulov, S.Ya. Aliev
TL;DR
This paper investigates the behavior, existence, and non-existence conditions of solutions to degenerated nonlinear second-order parabolic equations with initial boundary conditions.
Contribution
It establishes conditions for the existence and non-existence of solutions over time for a class of degenerated nonlinear parabolic equations.
Findings
Conditions for solution existence are identified.
Non-existence criteria are established.
Behavior of solutions over time is characterized.
Abstract
The aim of this work is studding the behavior of solutions of initial boundary problem for degenerated nonlinear parabolic equation of the second order, conditions of existence and non-existence in whole by time solutions, is establish.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · Stability and Controllability of Differential Equations