| The paper is concerned with longtime dynamics of the Kirchhoff type wave equations:utt-M?||?u||2??u+?2u+?-???ut+f?u? =g?x?, with ???0,1? and nonlinearity f?u?with the growth exponent p. As 1?p<p??N+4?/?N-4?+,the solutions of the wave equations is of higher global regularity ?not partially regularity as usual? and the relate solution semigroup has a finite fractal dimensional global attractor and an exponential attractor in natural energy space [H2????H01???]ŚL2???. As p??p<p*?N+4/N-4, the subclass G of limit solutions has a weak global attractor. |
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