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The global solutions of algebro-geometric type for Degasperis-Procesi hierarchy
The global solutions of algebro-geometric type Degasperis-Procesi hierarchy Exactly Solvable and Integrable Systems
2012/4/26
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively. F...
Global solutions to a non-local diffusion equation with quadratic non-linearity
Global solutions a non-local diffusion equation quadratic non-linearity
2011/1/21
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
Global Solutions for Schrödinger-Debye System for Data with an Infinite $l^2$- norm
Schrö dinger-Debye system Global well-posedness
2010/12/1
We obtain global well-posedness results for the Cauchy problem associated to the the chrödinger-Debye system for two class of data with infinite L2-norm .
The Cauchy problems and Global Solutions for Deybe
Burgers' equations Deybe system pseudomeasure spaces self-similar solutions asymptotic stability
2007/12/11
In this paper we consider the Cauchy problems of Burgers' equations and the Deybe system. Their existence and uniqueness of the time-global solutions for small initial data in some pseudomeasure space...