Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping

This paper deals with the initial boundary value problem of Petrovsky type equation with degenerate damping. Under some appropriate conditions, we study the finite time blow up and exponential growth of solutions with negative initial energy.

Bibliographic Details
Main Authors: Erhan Pişkin, Fatma Ekinci
Format: Article
Language:English
Published: Emrah Evren KARA 2021-06-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1761652
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author Erhan Pişkin
Fatma Ekinci
author_facet Erhan Pişkin
Fatma Ekinci
author_sort Erhan Pişkin
collection DOAJ
description This paper deals with the initial boundary value problem of Petrovsky type equation with degenerate damping. Under some appropriate conditions, we study the finite time blow up and exponential growth of solutions with negative initial energy.
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spelling doaj.art-802e7f6a9a77488c9e898f11851dc9b42024-01-21T09:07:19ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532021-06-0142828710.32323/ujma.9355191225Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate DampingErhan Pişkin0Fatma Ekinci1DICLE UNIVERSITYDICLE UNIVERSITYThis paper deals with the initial boundary value problem of Petrovsky type equation with degenerate damping. Under some appropriate conditions, we study the finite time blow up and exponential growth of solutions with negative initial energy.https://dergipark.org.tr/tr/download/article-file/1761652blow upexponential growthpetrovsky equationdegenerate damping
spellingShingle Erhan Pişkin
Fatma Ekinci
Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
Universal Journal of Mathematics and Applications
blow up
exponential growth
petrovsky equation
degenerate damping
title Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
title_full Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
title_fullStr Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
title_full_unstemmed Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
title_short Blow Up and Exponential Growth to a Petrovsky Equation with Degenerate Damping
title_sort blow up and exponential growth to a petrovsky equation with degenerate damping
topic blow up
exponential growth
petrovsky equation
degenerate damping
url https://dergipark.org.tr/tr/download/article-file/1761652
work_keys_str_mv AT erhanpiskin blowupandexponentialgrowthtoapetrovskyequationwithdegeneratedamping
AT fatmaekinci blowupandexponentialgrowthtoapetrovskyequationwithdegeneratedamping