scholarly journals Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem

2021 ◽  
Vol 300 ◽  
pp. 312-336
Author(s):  
Alexandre N. Carvalho ◽  
Estefani M. Moreira
Keyword(s):  
Parabolic Problem ◽  
One Dimensional ◽  
Quasilinear Parabolic Problem ◽  
Quasilinear Parabolic

Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization

2018 ◽  
Vol 20 (08) ◽  
pp. 1750065 ◽  
Author(s):  
Jacques Giacomoni ◽  
Vicenţiu Rădulescu ◽  
Guillaume Warnault
Keyword(s):  
Weak Solution ◽  
Existence And Uniqueness ◽  
Parabolic Problem ◽  
Variable Exponent ◽  
Global Behavior ◽  
Variable Exponents ◽  
Nonlinear Parabolic ◽  
Quasilinear Parabolic Problem ◽  
Quasilinear Elliptic ◽  
Quasilinear Parabolic

We discuss the existence and uniqueness of the weak solution of the following nonlinear parabolic problem: [Formula: see text] which involves a quasilinear elliptic operator of Leray–Lions type with variable exponents. Next, we discuss the global behavior of solutions and in particular the convergence to a stationary solution as [Formula: see text].

scholarly journals Existence of a solution of a Fourier nonlocal quasilinear parabolic problem

1992 ◽  
Vol 5 (1) ◽  
pp. 43-67 ◽  
Author(s):  
Ludwik Byszewski
Keyword(s):  
Heat Conduction ◽  
Classical Solution ◽  
Parabolic Problem ◽  
Classical Theorem ◽  
Existence Of A Solution ◽  
Quasilinear Parabolic Problem ◽  
Schauder’S Theorem ◽  
Quasilinear Parabolic

The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder's theorem is used. The paper is a continuation of papers [1]-[8] and the generalizations of some results from [9]-[11]. The theorem established in this paper can be applied to describe some phenomena in the theories of diffusion and heat conduction with better effects than the analogous classical theorem about the existence of a solution of the Fourier third quasilinear parabolic problem.

Sign in / Sign up

Export Citation Format

Share Document