In this paper, the existence and partial regularity of weak solution to the initial-boundary value problem of Landau-Lifshitz equations with applied fields in a
We prove the refined ABP maximum principle, comparison principle,and related existence and uniqueness theorem for the positive solutions of the Dirichlet proble
We consider a semilinear wave equation of the form utt(x, t) -Δu(x, t) = -m(x, t)ut(x, t) + φ(x) . u(x, t) + b(x)|u(x, t)|p-2u(x, t)where p > 2. We show, un
With the use of Holder Zygmund space techniques, local regular solutions to the Navier-Stokes equations in Rn are shown to exist when the initial data are in th
In this paper, we consider the initial and mixed boundary value problems for the semiconductor equations with avalanche term, the uniqueness of the weak solutio
In this paper we investigate a Logistic equation with delay and it is shown that if b(x) > c(x), the stationary solution is globally asymptotically stable; if r
We consider the equation ut=Tr[B(x,t,Du,φu)D2u]+F(x,t,u,Du,φu,ψu) whereφ and ψ are vector-valued mappings. We obtain the existence and uniqueness of classi