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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Wiley
2018-01-01
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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. |
format | Article |
id | doaj-art-a7f45540aaf14315b9fbefea2a1e04e1 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
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 |