The Cauchy Problem for the Generalized IMBq Equation in Ws, p(Rn)

By Shubin Wang, Guowang Chen. 2002

82 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/905413c50acce4346f955f8e367101dad662065f

Citations in the corpus

• On small amplitude solutions to the generalized Boussinesq equations (2006, unknown): “The local and global existence to the Cauchy problem was established by Bona and Sachs [4], Tsutsumi and Matahashi [37], Linares [21], and Wang and Chen [ 38 ].”