Painlevé analysis of a class of nonlinear diffusion equations.
Parabolic equations relative to vector fields.
Parabolic equations with deviating argument in advance
Parabolic equations with multiple singularities
Parabolic inequalities in as limits of renormalized equations.
Parabolic inequalities with nonstandard growths and data.
Parabolic q-Minima and minimal solutions to variational flow.
Partial differential equations and image smoothing
Partial Hölder continuity for quasilinear parabolic systems of higher order with strictly controlled growth
Sfruttando i risultati di [1], si prova che le derivate spaziali di ordine con delle soluzioni in di un sistema parabolico quasilineare di ordine con andamenti strettamente controllati, sono parzialmente hölderiane in con esponente di hölderianità decrescente al crescere di .
Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth
Periodic parabolic problems with nonlinearities indefinite in sign.
Let Ω ⊂ RN be a smooth bounded domain. We give sufficient conditions (which are also necessary in many cases) on two nonnegative functions a, b that are possibly discontinuous and unbounded for the existence of nonnegative solutions for semilinear Dirichlet periodic parabolic problems of the form Lu = λa (x, t) up - b (x, t) uq in Ω × R, where 0 < p, q < 1 and λ > 0. In some cases we also show the existence of solutions uλ in the interior of the positive cone and that uλ can...
Periodic problems and problems with discontinuities for nonlinear parabolic equations
In this paper we study nonlinear parabolic equations using the method of upper and lower solutions. Using truncation and penalization techniques and results from the theory of operators of monotone type, we prove the existence of a periodic solution between an upper and a lower solution. Then with some monotonicity conditions we prove the existence of extremal solutions in the order interval defined by an upper and a lower solution. Finally we consider problems with discontinuities and we show that...
Periodic solutions of evolution -Laplacian equations with a nonlinear convection term.
Periodic solutions of quasilinear equations with discontinuous perturbations.
Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation
Periodic Solutions to a Parabolic Equation with Hysteresis.
Periodic trajectories for evolution equations in Banach spaces.
Periodic traveling waves for a nonlocal integro-differential model.
Perona-Malik equation: properties of explicit finite volume scheme
The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.