Solutions presque périodiques des inéquations d'évolution avec des fonctionnelles non différentiables
Solutions renormalisées pour des équations autonomes des milieux poreux
Solutions self-similaires de l'équation de Schrödinger non-linéaire
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système de Navier-Stokes
Solutions to a model for compressible immiscible two phase flow in porous media.
Solutions to a nonlinear drift-diffusion model for semiconductors.
Solutions to nonlinear elliptic equations with a nonlocal boundary condition.
Soluzioni di tipo barriera
We present the general theory of barrier solutions in the sense of De Giorgi, and we consider different applications to ordinary and partial differential equations. We discuss, in particular, the case of second order geometric evolutions, where the barrier solutions turn out to be equivalent to the well-known viscosity solutions.
Soluzioni di viscosità e stabilità per equazioni completamente nonlineari
Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].
Solvability in Sobolev spaces of a problem for a second order parabolic equation with time derivative in the boundary condition.
Solvability of a class of phase field systems related to a sliding mode control problem
We consider a phase-field system of Caginalp type perturbed by the presence of an additional maximal monotone nonlinearity. Such a system arises from a recent study of a sliding mode control problem. We prove the existence of strong solutions. Moreover, under further assumptions, we show the continuous dependence on the initial data and the uniqueness of the solution.
Solvability of a coupled system of parabolic and ordinary differential equations
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
Solvability of a mathematical model of dissociative adsorption and associative desorption type
A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.
Solvability of degenerated parabolic equations without sign condition and three unbounded nonlinearities.
Solvability of parabolic model boundary value problems in Sobolev- Slobodetskij spaces of generalized functions
Solvability of the heat equation in weighted Sobolev spaces
The existence of solutions to an initial-boundary value problem to the heat equation in a bounded domain in ℝ³ is proved. The domain contains an axis and the existence is proved in weighted anisotropic Sobolev spaces with weight equal to a negative power of the distance to the axis. Therefore we prove the existence of solutions which vanish sufficiently fast when approaching the axis. We restrict our considerations to the Dirichlet problem, but the Neumann and the third boundary value problems can...
Solvability of the inverse problem of finding thermal conductivity.
Solvability problem for strong-nonlinear nondiagonal parabolic system
A class of -nonlinear parabolic systems with a nondiagonal principal matrix and strong nonlinearities in the gradient is considered.We discuss the global in time solvability results of the classical initial boundary value problems in the case of two spatial variables. The systems with nonlinearities , , , are analyzed.
Solvability problem for strong-nonlinear nondiagonal parabolic system