Some Uniqueness and Growth Theorems in the Cauchy Problem for P utt + M ut + Nu = 0 in Hilbert Space.
Sous-solutions pour un problème unilatéral d'évolution : caractérisation et régularité
Space dimension can prevent the blow-up of solutions for parabolic problems.
Spatial localization for a general reaction-diffusion system
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
In this paper we investigate the role of spatial effects in determining the dynamics of a subclass of signalling pathways characterised by their ability to demonstrate oscillatory behaviour. To this end, we formulate a simple spatial model of the p53 network that accounts for both a negative feedback and a transcriptional delay. We show that the formation of protein density patterns can depend on the shape of the cell, position of the nucleus, and the protein diffusion rates. The temporal...
Spectral properties of compressible stratified flows.
Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions.
Stability for semilinear parabolic equations with decaying potentials in Rn and dynamical approach to the existence of ground states
Stabilization of solutions of a reaction-diffusion equation
Stable solutions of in
Several Liouville-type theorems are presented for stable solutions of the equation in , where is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.
Stationary solutions for the Cahn-Hilliard equation
Statistical mechanics of nonlinear wave equations
Strong Lp-Solutions of the Navier-Stokes Equation in Rm, with Applications to Weak Solutions.
Strong maximum principle for non-linear parabolic differential-functional inequalities
Strong positivity in C (...) for elliptic systems.
Sturmian theorems for components of coupled elliptic systems
Subharmonic functions in sub-Riemannian settings
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution . These characterizations are based on suitable average operators on the level sets of . Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach, Reade and Saks. We analyze as well the notion of subharmonic function...
Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations.
Sulle singolarità eliminabili delle soluzioni dell'equazione delle superficie minime
Superconvergence of external approximation for two-point boundary problems
The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution at the knot points can exceed the global one.