This paper is devoted to studying the initial-value problem of the Kawahara equation. By establishing some crucial bilinear estimates related to the Bourgain spaces X s,b (R 2 ) introduced by Bourgain and homogeneous Bourgain spaces, which is defined in this paper and using I-method as well as L 2 c
The Cauchy Problem for the Generalized IMBq Equation in Ws, p(Rn)
β Scribed by Shubin Wang; Guowang Chen
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 132 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper, the existence and the uniqueness of the global strong solution and the global classical solution for the Cauchy problem of the multidimensional generalized IMBq equation are proved. The nonexistence of the global solution for the Cauchy problem of the generalized IMBq equation is discussed.
π SIMILAR VOLUMES
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The publisher regrets that the following text was missing from p. 178 of the original article: It is obvious from this relation that y1 will never equal y2 for arbitrary shifts Ah unless AP = 0 (i.e. PI = P2), and this pressure condition is satisfied only for plane parallel surfaces whose radii of