Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (1): 31-37.
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Zhang Quande1,2
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Abstract: In this paper, a necessary condition on existence of global classical solutions is obtained for the Canchy problems of nonli-near wave eguations,uu=△u+f(u),(|f(u)|=|u|p,p>1) when initial data belong to some neighborhood of 0 in space C0k(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.
Key words: nonlinear wave eguation, initial problem, classical solution, genepalized solution, life span
Zhang Quande. A Necessary Condition on Exitence of Global Solutions of Nonlinear Wave Eguations[J].Acta mathematica scientia,Series A, 1997, 17(1): 31-37.
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