AbstractIn this paper we prove that the already-established local well-posedness in the range s>−5/4 of the Cauchy problem with an initial Hs(R) data for a fifth-order shallow water wave equation is extendable to s=−5/4 by using the F¯s space. This is sharp in the sense that the ill-posedness in the range s<−5/4 of this initial value problem is already known
AbstractIn this note, we investigate the problem of well-posedness for a shallow water equation with...
The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in...
AbstractThis paper deals with the Cauchy problem for a higher order shallow water equation yt+auxy+b...
In this paper we prove that the already-established local well-posedness in the range s > -5/4 of...
AbstractBy using the I-method, we prove that the Cauchy problem of the fifth-order shallow water equ...
AbstractThe Cauchy problem of a fifth-order shallow water equation∂tu−∂x2∂tu+∂x3u+3u∂xu−2∂xu∂x2u−u∂x...
AbstractThe Cauchy problems for some kind of fifth-order shallow water equations∂tu+α∂x5u+β∂x3u+γ∂xu...
AbstractIn this paper we mainly study the Cauchy problem for the generalized shallow water wave equa...
AbstractIn this paper we consider the periodic Cauchy problem for a fifth order modification of the ...
We present a comprehensive introduction and overview of a recently derived model equation for waves ...
Abstract. This article is concerned with local well-posedness of the Cauchy problem for second order...
In this article, we consider a nonlinear evolution equation for surface waves in shallow water over...
AbstractIn this paper we prove that the already-established local well-posedness in the range s>−5/4...
This article is concerned with local well-posedness of the Cauchy problem for second order quasiline...
We are interested in the initial value problem associated to the Hirota-Satsuma equation in the real...
AbstractIn this note, we investigate the problem of well-posedness for a shallow water equation with...
The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in...
AbstractThis paper deals with the Cauchy problem for a higher order shallow water equation yt+auxy+b...
In this paper we prove that the already-established local well-posedness in the range s > -5/4 of...
AbstractBy using the I-method, we prove that the Cauchy problem of the fifth-order shallow water equ...
AbstractThe Cauchy problem of a fifth-order shallow water equation∂tu−∂x2∂tu+∂x3u+3u∂xu−2∂xu∂x2u−u∂x...
AbstractThe Cauchy problems for some kind of fifth-order shallow water equations∂tu+α∂x5u+β∂x3u+γ∂xu...
AbstractIn this paper we mainly study the Cauchy problem for the generalized shallow water wave equa...
AbstractIn this paper we consider the periodic Cauchy problem for a fifth order modification of the ...
We present a comprehensive introduction and overview of a recently derived model equation for waves ...
Abstract. This article is concerned with local well-posedness of the Cauchy problem for second order...
In this article, we consider a nonlinear evolution equation for surface waves in shallow water over...
AbstractIn this paper we prove that the already-established local well-posedness in the range s>−5/4...
This article is concerned with local well-posedness of the Cauchy problem for second order quasiline...
We are interested in the initial value problem associated to the Hirota-Satsuma equation in the real...
AbstractIn this note, we investigate the problem of well-posedness for a shallow water equation with...
The local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in...
AbstractThis paper deals with the Cauchy problem for a higher order shallow water equation yt+auxy+b...
DOI
Add to ORKG