A note on nonexistence of global solutions to a nonlinear integral equation

A note on nonexistence of global solutions to a nonlinear integral equation
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关于非线性积分方程不存在全局解的注解

DOI:
10.36045/bbms/1103055577
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发表时间:
1999
影响因子:
0.5
通讯作者:
M. Kirane
M. Kirane
中科院分区:
数学4区
文献类型:
--
作者:
M. Guedda;M. Kirane

文献摘要

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本文研究积分方程ut = −(− ε)β 2u + h(t)u1+α在RN ×(0,T)中的Cauchy问题,其中0 < β ≤ 2.本文推广了Fujita关于β = 2和h ∈ 1的结果.
In this paper we study the Cauchy problem for the integral equation ut = −(−∆) β 2u + h(t)u1+α in RN × (0, T ), where 0 < β ≤ 2. We obtain some extension of results of Fujita who considered the case β = 2 and h ≡ 1.