S. Vernier Piro
University of Cagliari
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Publication
Featured researches published by S. Vernier Piro.
Applicable Analysis | 2005
L. E. Payne; G. A. Philippin; S. Vernier Piro
This article continues the derivation of explicit solution and gradient bounds for classes of second order nonlinear parabolic initial-boundary value problems. Earlier results were restricted to domains with boundaries of nonnegative average curvature. The purpose of the present article is to remove the curvature restriction and to extend the results to more general parabolic problems.
International Conference on Differential & Difference Equations and Applications | 2013
T. Gramchev; Monica Marras; S. Vernier Piro
We investigate the extinction phenomena for some linear combinations of components of the vector-valued solutions to classes of semilinear parabolic systems. The crucial assumption on simultaneous splitting of the matrix-valued elliptic operators and the nonlinear source term allow us to uncouple the systems into a linear part and a scalar nonlinear equation depending on the solutions of the linear part. We propose necessary conditions and sufficient conditions on the existence of the extinction time for the solutions. We recapture as particular case previous results and apply our abstract theorem to a class of 3 × 3 systems appearing as models in chemical engineering.
Numerical Functional Analysis and Optimization | 2009
Monica Marras; S. Vernier Piro
We investigate continuous dependence on initial data for solutions of a nonlinear parabolic problem, when Robin conditions are prescribed on the boundary ∂ Ω × (t > 0), Ω a bounded R 2 domain.
Nonlinear Analysis-theory Methods & Applications | 2010
L. E. Payne; G. A. Philippin; S. Vernier Piro
Zeitschrift für Angewandte Mathematik und Physik | 2010
L. E. Payne; G. A. Philippin; S. Vernier Piro
Journal D Analyse Mathematique | 2013
Francesco Ragnedda; S. Vernier Piro; Vincenzo Vespri
Mathematische Annalen | 2010
Francesco Ragnedda; S. Vernier Piro; Vincenzo Vespri
Nonlinear Analysis-theory Methods & Applications | 2009
Francesco Ragnedda; S. Vernier Piro; Vincenzo Vespri
Archive | 2014
Monica Marras; S. Vernier Piro; Giuseppe Viglialoro
Archive | 2012
S. Vernier Piro; Viale Merello