首页|Local Existence and Blow-Up of Solutions for Pseudo-Parabolic Equation with Singular Potential and General Nonlinearity
Local Existence and Blow-Up of Solutions for Pseudo-Parabolic Equation with Singular Potential and General Nonlinearity
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In this paper,a semilinear pseudo-parabolic equation with a general nonlin-earity and singular potential is considered.We prove the local existence of solution by Galerkin method and contraction mapping theorem.Moreover,we prove the blow-up of solution and estimate the upper bound of the blow-up time for J(uo)≤0.Finally,we prove the finite time blow-up and estimate the upper bound of blow-up time for J(uo)＞0.
Pseudo-parabolic equationSingular potentialGeneral nonlinearityLocal existenceBlow-up time
JIANG Dong-yue、TANG Zhong-hua、FANG Shao-mei
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College of Mathematics and Informatics,South China Agricultural University,Guangzhou 510642,China
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