A nonlinear viscoelastic plate equation with p⃗(x,t)-Laplace operator: Blow up of solutions with negative initial energy-Reference-Cited by-同舟云学术

A nonlinear viscoelastic plate equation with p⃗(x,t)-Laplace operator: Blow up of solutions with negative initial energy

Published:2021-06 Issue: Volume:59 Page:103240
ISSN:1468-1218
Container-title:Nonlinear Analysis: Real World Applications
language:en
Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Antontsev S.,Ferreira J.

Funder

Universidade Federal Fluminense

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference36 articles.

1. Exponential stability for a plate equation with p-Laplacian and memory terms;Andrade;Math. Methods Appl. Sci.,2012

2. Decay of solutions for a plate equation with p-Lalacian and memory term;Liu;Eletron. J. Differ. Equ.,2012

3. On the general decay of a nonlinear viscoelastic plate equation with a strong damping and p⃗(x,t)-Laplacian;Ferreira;Nonlinear Anal. Series A: Theory Methods Appl.,2014

4. On a Viscolelastic plate equation with strong damping and perturbation of p⃗(x,t)-Laplacian: Existence, and uniqueness;Antontsev;Differential Integral Equations,2014

5. Global existence asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term;Yang;J. Differential Equations,2003

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