Flavia Smarrazzo

LONG-TIME BEHAVIOR OF SOLUTIONS TO A CLASS OF FORWARD-BACKWARD PARABOLIC EQUATIONS

We consider weak entropy measure-valued solutions of the Neumann initial-boundary value problem for the equation

On a Class of Forward-Backward Parabolic Equations: Properties of Solutions

u_t=[\phi(u)]_{xx}

Some recent results concerning a class of forward-backward parabolic equations

, where

Radon measure-valued solutions of first order scalar conservation laws

\phi

On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data

is nonmonotone. These solutions are obtained from the corresponding problem for the regularized equation

Entropy solutions of forward-backward parabolic equations with Devonshire free energy

u_t=[\phi(u)]_{xx}+\varepsilon u_{xxt}

Degenerate Regularization of Forward–Backward Parabolic Equations: The Regularized Problem

(

Pseudoparabolic regularization of forward-backward parabolic equations: A logarithmic nonlinearity

\varepsilon>0

On a class of equations with variable parabolicity direction

) by a vanishing viscosity method and satisfy a family of suitable entropy inequalities. Relying on a strong version of these inequalities, we prove exhaustive results concerning the long-time behavior of solutions.

Radon Measure-Valued Solutions for a Class of Quasilinear Parabolic Equations

We study the equation