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《ACTA MATHEMATIEA SCIENTIA》 1997-01
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A Necessary Condition on Exitence of Global Solutions of Nonlinear Wave Eguations

Zhang Quande(Department of Math. Shaanxi Normal Univ. Xi'an 710062; College of Soience. Xi'an. Jiaotong Univ. 710049 )  
In this paper, a necessary condition on existence of global classical solutions is obtained for the Canchy problems of nonli-near wave eguations,utt=△u+ f(u), (|f(u)|=|u| p,P 1) when initial data belong to some neighborhood of 0 in space Ck0(Rn). We also prove that classical and generaliged solutions hcwe the same life span,And the estimation of upper bound of the life span is obtained.
【Fund】: 国家自然科学基金
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Zhang Quande Wang Ji (Department of Mathematics, Shaanxi Normal University, Xi′an 710062);Long-time Solutions of Nonlinear Wave Equations[J];;1993-04
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHANG QUANDE; ZHU JIXIANG(Department of Mathematics, Shaanxi Normal University, Xi'an 710062);BLOW UP OF SOLUTIONS NONLINEAR WAVE EQUATIONS[J];ACTA MATHEMATICAE APPLICATAE SINICA;1995-03
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