We review some recent results by the authors and collaborators [1, 18] concerning Harnack inequalities for weak solutions of classes of quasilinear degenerate parabolic PDE in such spaces.
This class of metric measure spaces has a very rich analytic structure (Sobolev-Poincaré inequalities, John Nirenberg lemma,...) that allows for the development of a basic regularity theory for weak solutions of classes of nonlinear degenerate parabolic and elliptic PDE.
Random nonlinear analysis, an important branch of probabilistic functional analysis, deals with the solution of various classes of random operator equations and related problems.
Random nonlinear analysis, which is an important branch of probabilistic functional analysis, deals with the solution of various classes of random operator equations and the related problems.
With the availability of this methodology, it will now be possible to investigate the approximate solution of other classes of IAEs systems.
In fact, depending on the cost vector, both numbers of solutions and of classes thereof may increase considerably.
This paper deals with the numerical solution of a class of fractional differential equations.
"I spent a long time in my life exploring the possibilities for an intelligent social democratic solution of the class conflict," he explains over lunch.
In this paper we are interested in a rigorous analysis of the solution of a class of initial-value problems with singularities.
