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Awatif Alqahtani Mohamed Jleli Bessem Samet 《Mathematical Methods in the Applied Sciences》2019,42(3):861-870
In this paper, some nonlocal in time differential inequalities of Sobolev type are considered. Using the nonlinear capacity method, sufficient conditions for the nonexistence of nontrivial global classical solutions are provided. 相似文献
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《Mathematical Methods in the Applied Sciences》2018,41(13):4955-4966
The nonexistence of global solutions for semirelativistic equations with nongauge invariant power type nonlinearity is revisited by a relatively direct way with a pointwise estimate of fractional derivative of some test functions. 相似文献
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Akbar B. Aliev Anar A. Kazimov Vusala F. Guliyeva 《Mathematical Methods in the Applied Sciences》2013,36(9):1133-1144
In this paper, we investigate the Cauchy problem for a class of the system of semilinear hyperbolic equations with damping. With the use of the Lp → Lq type estimation for the corresponding linear problem and the method of comparison of functional, the existence and nonexistence criteria of global solutions are found. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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In this article we study the initial boundary value problem for a class of fourth-order nonlinear wave equation with viscous damping term u tt ???αu xxt ?+?u xxxx ?=?f(u x ) x . By argument related to the potential well-convexity method, we prove the global existence and nonexistence of the solution. Further, we give some sharp conditions for global existence and nonexistence of the solution. This generalizes the results obtained in Chen and Lu [G. Chen and B. Lu, The initial-boundary value problems for a class of nonlinear wave equations with damping term, J. Math. Anal. Appl. 351 (2009), pp. 1–15]. 相似文献
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Ahmed Alsaedi Mohammed S. Alhothuali Bashir Ahmad Sebti Kerbal Mokhtar Kirane 《Mathematical Methods in the Applied Sciences》2014,37(13):2009-2016
Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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刘海峰 《纯粹数学与应用数学》2010,26(5):761-767
研究与向量场有关的非线性次椭圆热方程.通过选取合适的测试函数,应用反证法证明了与之相关的初边值问题解的不存在性定理,将欧式空间及Heisenberg群上的结果推广至满足H(o)rmander有限秩条件的光滑向量场. 相似文献
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对二阶奇异椭圆方程-△u 1/uα-λuP=0的Dirichlet问题(λ>0,0<P<1)证明了当α≥1时无解存在,当0<α<1时存在极小解;并对较一般的奇异方程给出了一个存在性结果. 相似文献
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