About a Conditon for Blow up of Solutions of Cauchy Problem for a Wave Equation
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Abstract: For the nonlinear wave equation in RN×R+(N≥2):∂2u(x,t)/∂t2-∂/∂xi[aij(x)∂/∂xju=|u|p-1·u,in 1980 Kato proved the solution of Cauchy problem may blow up in finite time if 1
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Key words:
- condition for blow up /
- wave equation /
- Cauchy problem
[1] Kato T.Blow up ofsolutions ofsome nonlinear hyperbolic equations[J].Comm Pure Appl Math,1980,33(4):501~505. [2] Cao Zhenchao,Wang Bixiang,Guo Boling.Global existence theory for the two dimen sional derivative G-Lequation[J].Chinese Science Bulletin,1998,43(5):393~395. 计量
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