Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation
Stability of Lewis and Vogel's result.
Stability of Lipschitz type in determination of initial heat distribution.
Stability of nonlinear functional difference equations.
Stability of quasi-linear differential equations with transition conditions.
Stability of semilinear equations with boundary and pointwise noise
Stability of the inverse problem in potential scattering at fixed energy
We prove an estimate of the kind , where , is the scattering amplitude related to the compactly supported potential at a fixed energy level const., , and is a suitably defined norm.
Stability properties for quasilinear parabolic equations with measure data
Stability properties of positive solutions to partial differential equations with delay.
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
Stable time periodic solutions for damped sine-Gordon equations.
Star shaped coincidence sets in the obstacle problem
Statistical Solutions of PDEs by Nonstandard Densities.
Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities.
Steady states for a fragmentation equation with size diffusion
The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.
Stefan problem in a 2D case
The aim of this paper is to analyze the well posedness of the one-phase quasi-stationary Stefan problem with the Gibbs-Thomson correction in a two-dimensional domain which is a perturbation of the half plane. We show the existence of a unique regular solution for an arbitrary time interval, under suitable smallness assumptions on initial data. The existence is shown in the Besov-Slobodetskiĭ class with sharp regularity in the L₂-framework.
Stefan problems with a concentrated capacity
Vengono brevemente studiati i problemi di Stefan su «capacità concentrate»,seguendo l'approccio recentemente introdotto di G. Savaré e A. Visintin.
Stochastic averaging lemmas for kinetic equations
We develop a class of averaging lemmas for stochastic kinetic equations. The velocity is multiplied by a white noise which produces a remarkable change in time scale.Compared to the deterministic case and as far as we work in , the nature of regularity on averages is not changed in this stochastic kinetic equation and stays in the range of fractional Sobolev spaces at the price of an additional expectation. However all the exponents are changed; either time decay rates are slower (when the right...
Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
Let H be a separable real Hilbert space and let E be a separable real Banach space. We develop a general theory of stochastic convolution of ℒ(H,E)-valued functions with respect to a cylindrical Wiener process with Cameron-Martin space H. This theory is applied to obtain necessary and sufficient conditions for the existence of a weak solution of the stochastic abstract Cauchy problem (ACP) (t∈ [0,T]), almost surely, where A is the generator of a -semigroup of bounded linear operators on...
Stochastic differential equations in Hilbert spaces