Author/Authors :
Li Kaitai، نويسنده , , Zhang Quande، نويسنده ,
Abstract :
In this paper, we consider the Cauchy problem for the equation of dislocation of crystalsutt−Δu+u=u2+u3. The necessary and sufficient conditions of the existence of global solutions are obtained forE(0)= ( u1 2L2+ u0 2H1)−∫Rn ∫u00 f(s) ds dx
Keywords :
Global solution , Existence , Nonexistence , blow up of the solution , lifespan.
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS