175 citations · 216 across the 8 of their papers we have counts for
6 papers · 1 filter
Existence and regularity results for terminal value problem for nonlinear fractional wave equations
Nguyen Huy Tuan, Tomás Caraballo, Tran Bao Ngoc +1
We consider the terminal value problem (or called final value problem, initial inverse problem, backward in time problem) of determining the initial value, in a general class of ti…
On existence and regularity of a terminal value problem for the time fractional diffusion equation
Nguyen Huy Tuan, Tran Bao Ngoc, Yong Zhou +1
In this paper we consider a final value problem for a diffusion equation with time-space fractional differentiation on a bounded domain of , , which in…
Commutator estimates in Besov-Morrey spaces with applications to the well-posedness of the Euler equations and ideal MHD system
Jiang Xu, Yong Zhou
We develop commutator estimates in the framework of Besov-Morrey spaces, which are modeled on Besov spaces and the underlying norm is of Morrey space rather than the usual …
A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor
Zujin Zhang
We consider the Cauchy problem for the incompressible Navier-Stokes equations in , and provide a sufficient condition to ensure the smoothness of the solution. It involves on…
On the positive solutions to some quasilinear elliptic partial differential equations
Octavian G. Mustafa, Yong Zhou
We establish that the elliptic equation , where , , and , has a positive solution which decays to 0 as $|…
Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation
A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce +1
It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also…