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(4) The basin of attraction for each exponential attractor is the entire phase space, and in demonstrating this result we see that the semigroup of solution operators also admits
In section 3 all mathematical notations are stated and global in time existence results are established in the two following cases: the confined case with sharp-diffuse
In this note, we consider a second order multivalued iterative equation, and the result on decreasing solutions is given.. Equation (1) has been studied extensively on the
We shall see below how such Lyapunov functions are related to certain convex cones and how to exploit this relationship to derive results on common diagonal Lyapunov function (CDLF)
“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after
In that same language, we can show that every fibration which is a weak equivalence has the “local right lifting property” with respect to all inclusions of finite simplicial
Section 3 is first devoted to the study of a-priori bounds for positive solutions to problem (D) and then to prove our main theorem by using Leray Schauder degree arguments.. To show
As in [6], we also used an iterative algorithm based on surrogate functionals for the minimization of the Tikhonov functional with the sparsity penalty, and proved the convergence