Communications in Mathematical Physics

, Volume 265, Issue 1, pp 189–200 | Cite as

Existence and Uniqueness of Low Regularity Solutions for the Dullin-Gottwald-Holm Equation

  • Octavian G. MustafaEmail author


We establish the local existence and uniqueness of solutions for the Dullin-Gottwald-Holm equation with continuously differentiable, periodic initial data. The regularity conditions needed for the Cauchy problem via the semigroup approach of quasilinear hyperbolic equations of evolution or the viscosity method are significantly lowered.


Viscosity Neural Network Statistical Physic Complex System Initial Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CraiovaCraiovaRomania

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