Hölder continuity for the Fokas–Olver–Rosenau–Qiao equation
AA Himonas, D Mantzavinos - Journal of Nonlinear Science, 2014 - Springer
Journal of Nonlinear Science, 2014•Springer
It has been shown that the Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation is
well-posed for initial data u_0 ∈ H^ su 0∈ H s, s> 5/2 s> 5/2, with its data-to-solution map
u_0 ↦ uu 0↦ u being continuous but not uniformly continuous. This work further investigates
the continuity properties of the solution map and shows that it is Hölder continuous in the H^
r H r topology when 0 ≤ r< s 0≤ r< s. The Hölder exponent is given explicitly and depends
on both ss and r r.
well-posed for initial data u_0 ∈ H^ su 0∈ H s, s> 5/2 s> 5/2, with its data-to-solution map
u_0 ↦ uu 0↦ u being continuous but not uniformly continuous. This work further investigates
the continuity properties of the solution map and shows that it is Hölder continuous in the H^
r H r topology when 0 ≤ r< s 0≤ r< s. The Hölder exponent is given explicitly and depends
on both ss and r r.
Abstract
It has been shown that the Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation is well-posed for initial data , , with its data-to-solution map being continuous but not uniformly continuous. This work further investigates the continuity properties of the solution map and shows that it is Hölder continuous in the topology when . The Hölder exponent is given explicitly and depends on both and .
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果