H(o|¨)lder Continuity For The Weakly Dissipative Novikov Equation

This paper mainly considers the Holder continuity of the weakly dissipative Novikov equation in Sobolev spaces Hs for s>3/2.The content of this paper is arranged as follows:In the first chapter, we introduce the research significance and the research back-ground, and some research results of this paperIn the second chapter, we give the main preparatory knowledge needed in the process of the main result proving,including basic mark, common inequality involved in this paper.In the third chapter, we apply Kato’s semigroup theory to obtain the local well-posedness of the weakly dissipative Novikov equation,while the initial value u0∈Hs (s>3/2),and we obtain the solution u ∈C([0, T]; Hs) of the weakly dissipative Novikov equation satisfying the following estimate: where Cs> 0 is a constant depending on s.In the fourth chapter/we prove the main conclusion,which is the proof of Holder...