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We consider here the homogeneous Dirichlet problem for the equation u(t)= u?u - ?|?u|(2) with ? ? R, u ? 0, in a noncylindrical domain in space-time given by |x| ? R(t) = (T - t)(p), with p > 0. By means of matched asymptotic expansion techniqu[...]texto impreso
In a bounded domain Omega we study the existence and uniqueness of entropy solutions of partial derivativeu/partial derivativet + div Phi(u) = f with u(0) = u(0), where Phi is allowed to have some discontinuities of first type.texto impreso
The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria that bound asymptotically all solutions to that nonlinear heat equation.texto impreso
Etayo Gordejuela, J. Javier ; Gromadzki, G. ; Martínez García, Ernesto | BIRKHAUSER VERLAG AG | 2012In virtue of the Belyi Theorem an algebraic curve can be defined over the algebraic numbers if and only if the corresponding Riemann surface can be uniformized by a subgroup of a Fuchsian triangle group. Such surfaces are known as Belyi surfaces[...]texto impreso
We consider in this paper distributed systems governed by parabolic evolution equations which can blow up in finite time and which are controlled by initial conditions. We study here the following question : Can one choose the initial condition [...]texto impreso
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We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold M. We give some applications of this theory, concerning, for instance, a Borwein-Preiss type variational principle on a Rie[...]texto impreso
We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanheck[...]texto impreso
In this article we study pluriregular varieties X of general type with base-point-free canonical bundle whose canonical morphism has degree 3 and maps X onto a variety of minimal degree Y. We carry out our study from two different perspectives. [...]texto impreso
Blanco Gómez, Eduardo ; Hernández Corbato, Luis ; Romero Ruiz del Portal, Francisco | BIRKHAUSER VERLAG AG | 2016A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uniqueness theorem. Lefschetz zeta function is the main (and proved [...]
