Solution of Bellman's equation by means of a system of nonlinear singular integral equations.
Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
Solution of parabolic equations by means of Lyapunov functionals.
Solution of Stefan problems by fully discrete linear schemes.
Solutions in the large for certain nonlinear parabolic systems
Solutions of a fourth order degenerate parabolic equation with weak initial trace
Solutions of nonlinear parabolic equations without growth restrictions on the data.
Solutions presque périodiques des inéquations d'évolution avec des fonctionnelles non différentiables
Solutions self-similaires de l'équation de Schrödinger non-linéaire
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 of degenerated parabolic equations without sign condition and three unbounded nonlinearities.
Solvability problem for strong-nonlinear nondiagonal parabolic system
Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method
The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We propose a primal-dual active set method which can be interpreted as a semi-smooth Newton method as solution technique for the discretized Cahn-Hilliard variational inequality. A (semi-)implicit Euler discretization is used in time and a piecewise linear finite element discretization of splitting type is used in space leading...
Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method
The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We propose a primal-dual active set method which can be interpreted as a semi-smooth Newton method as solution technique for the discretized Cahn-Hilliard variational inequality. A (semi-)implicit Euler discretization is used in time and a piecewise linear finite element discretization of splitting type is used in space...
Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods
Some applications of parabolic differential equations of Allen-Cahn type in image processing
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
We consider three types of semilinear second order PDEs on a cylindrical domain , where is a bounded domain in , . Among these, two are evolution problems of parabolic and hyperbolic types, in which the unbounded direction of is reserved for time , the third type is an elliptic equation with a singled out unbounded variable . We discuss the asymptotic behavior, as , of solutions which are defined and bounded on .