José Valero - Academia.edu (original) (raw)
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Papers by José Valero
Journal of Proteomics, 2009
This article appeared in a journal published by Elsevier. The attached copy is furnished to the a... more This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.
Journal of Dynamics and Differential Equations, 2001
In this paper we study the existence of global compact attractors for nonlinear parabolic equatio... more In this paper we study the existence of global compact attractors for nonlinear parabolic equations of the reaction-diffusion type and variational inequalities. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modeling combustion in porous media and processes of transmission of electrical impulses in nerve axons.
Set-valued Analysis, 2000
In this paper we define multivalued semiprocesses and give theorems providing the existence of gl... more In this paper we define multivalued semiprocesses and give theorems providing the existence of global attractors for such systems. This theory generalizes the construction of nonautonomous dynamical systems given by V. V. Chepyzhov and M. I. Vishik to the case where the system is not supposed to have a unique solution for each initial state. Further, we apply these theorems to nonautonomous differential inclusions of reaction–diffusion type.
Set-valued Analysis, 1998
In this paper we study the existence of global attractors for multivalued dynamical systems. Thes... more In this paper we study the existence of global attractors for multivalued dynamical systems. These theorems are then applied to dynamical systems generated by differential inclusions for which the solution is not unique for a given initial state. Finally, some boundary-value problems are considered.
International Journal of Bifurcation and Chaos, 2003
WSPC Journals Online,WorldSciNet.
Journal of Proteomics, 2009
This article appeared in a journal published by Elsevier. The attached copy is furnished to the a... more This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.
Journal of Dynamics and Differential Equations, 2001
In this paper we study the existence of global compact attractors for nonlinear parabolic equatio... more In this paper we study the existence of global compact attractors for nonlinear parabolic equations of the reaction-diffusion type and variational inequalities. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modeling combustion in porous media and processes of transmission of electrical impulses in nerve axons.
Set-valued Analysis, 2000
In this paper we define multivalued semiprocesses and give theorems providing the existence of gl... more In this paper we define multivalued semiprocesses and give theorems providing the existence of global attractors for such systems. This theory generalizes the construction of nonautonomous dynamical systems given by V. V. Chepyzhov and M. I. Vishik to the case where the system is not supposed to have a unique solution for each initial state. Further, we apply these theorems to nonautonomous differential inclusions of reaction–diffusion type.
Set-valued Analysis, 1998
In this paper we study the existence of global attractors for multivalued dynamical systems. Thes... more In this paper we study the existence of global attractors for multivalued dynamical systems. These theorems are then applied to dynamical systems generated by differential inclusions for which the solution is not unique for a given initial state. Finally, some boundary-value problems are considered.
International Journal of Bifurcation and Chaos, 2003
WSPC Journals Online,WorldSciNet.