Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms

By Songmu Zheng, Michel Chipot. Asymptotic Analysis, 2005

86 citations recorded by the source corpus.

In this paper the asymptotic behavior of the solutions, as time goes to infinity, to nonlinear parabolic equations with two classes of nonlocal terms is investigated. One of important features of our problems is that equilibria may be a continuum which is diffeomorphic to a piece of curve in R2.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/708c5cddc15bac6e312a1a8fe309b5409659b747

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Pedro Marín-Rubio
2. Tomás Caraballo
3. José Real
4. Bixiang Wang
5. Linfang Liu
6. Xiaoying Han
7. José Valero

In Control and Systems Engineering

1. Pedro Marín-Rubio
2. Tomás Caraballo
3. José Real
4. José Valero
5. Bixiang Wang
6. Linfang Liu
7. Xiaoying Han
8. María J. Garrido-Atienza

In Mathematical Physics

1. Tomás Caraballo
2. Pedro Marín-Rubio

Citations in the corpus

• Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms (2015, background): “As said before, a kind of Lyapunov structure were available only in very special situations (see [12, 14, 15]).”