Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term

We focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. In terms of the analysis of the first Fourier coefficient, we show the solution of singular initial value problem and singular initial-boundary value problem of the nonlinear equation w...

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Main Author: Kangqun Zhang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/3931297
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author Kangqun Zhang
author_facet Kangqun Zhang
author_sort Kangqun Zhang
collection DOAJ
description We focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. In terms of the analysis of the first Fourier coefficient, we show the solution of singular initial value problem and singular initial-boundary value problem of the nonlinear equation with positive initial data blow-up in some finite time interval.
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institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2018-01-01
publisher Wiley
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series Advances in Mathematical Physics
spelling doaj-art-a7f45540aaf14315b9fbefea2a1e04e12025-02-03T05:45:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/39312973931297Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative TermKangqun Zhang0Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, ChinaWe focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. In terms of the analysis of the first Fourier coefficient, we show the solution of singular initial value problem and singular initial-boundary value problem of the nonlinear equation with positive initial data blow-up in some finite time interval.http://dx.doi.org/10.1155/2018/3931297
spellingShingle Kangqun Zhang
Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
Advances in Mathematical Physics
title Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
title_full Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
title_fullStr Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
title_full_unstemmed Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
title_short Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
title_sort nonexistence of global weak solutions of nonlinear keldysh type equation with one derivative term
url http://dx.doi.org/10.1155/2018/3931297
work_keys_str_mv AT kangqunzhang nonexistenceofglobalweaksolutionsofnonlinearkeldyshtypeequationwithonederivativeterm