Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic | Zendy

Tomás Caraballo | Zendy; Antonio M. Márquez-Durán | Zendy; Felipe Rivero | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic

Author(s) -

Tomás Caraballo,

Antonio M. Márquez-Durán,

Felipe Rivero

Publication year - 2017

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2017108

Subject(s) - uniqueness , mathematics , exponential function , work (physics) , exponential growth , diffusion , exponential stability , mathematical analysis , pullback , diffusion equation , physics , thermodynamics , economy , nonlinear system , quantum mechanics , economics , service (business)

Our aim in this work is the study of the existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation containing infinite delay terms. We also analyze the asymptotic behaviour of the system in the pullback sense and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to stationary solutions.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research