The Existence and Nonexistence of a Global Smooth Solution for the Initial Value Problem of Generalized Kuramoto-Sivashinsky Type Equations
Received:January 03, 1989  
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Guo Boling Institute of Applied Physics and Computational Mathematics
Beijing 
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Abstract:
      The existence and uniqueness, of a global smooth solution for the initial valne problem of generalized Kuramoto-Sivashinsky type equations in multi-dimensions have been obtained. The sufficient conditions of "blowing up" for the solution of some dissipative equations are given.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.01.013
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