A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is establishe
In this paper, we obtain some linear estimates, trilinear estimates.Through these estimates , we prove the local wellposeness of modified Korteweg-de Vries equa
Let Xj, j = 1,…, k, be first order smooth quasi-homogeneous vector fields on Rn with the property that the dimension of the Lie algebra generated by these vect
In the paper, the existence and uniqueness of the generalized global solution and the classical global solution of the initial boundary value problems for the n
The aim of this paper is to study Morrey regularity of the solution to the Dirichlet problem for second order elliptic equation of the form Lu = -(aijux + bju)x
The existence of global attractors for the periodic initial value problem of damped generalized coupled nonlinear wave equations is proved. We also get the esti
In this paper, the local well posedness and global well posedness of solutions for the initial value problem (IVP) of nonlinear Schrodinger-Boussinesq equations
In this paper we study the approximate controllability of a class ofquasilinear parabolic equations in a bounded spacial domain Ω RN when the controlacts on an