We prove the existence of random attractors for a large class of degenerate stochastic partial
differential equations (SPDE) perturbed by joint additive Wiener noise and real, linear …

The existence of random attractors for singular stochastic evolution equations (SEE)
perturbed by general additive noise is proven. The drift is only assumed to satisfy the …

Parabolic approximation of damped wave equations via fractional powers: Fast growing
nonlinearities and continuity of the dynamics - ScienceDirect Skip to main contentSkip to article …

We analyze the asymptotic behavior of the attractors of a parabolic problem when some
reaction and potential terms are concentrated in a neighborhood of a portion Γ of the …

We consider parameter dependent semilinear evolution problems for which, at the limit
value of the parameter, the problem is finite dimensional. We introduce an abstract …

In this work we study ODE limit problems for reaction-diffusion equations for large diffusion
and we study the sensitivity of nonlinear ODEs with respect to initial conditions and …

It is known that the concept of dissipativeness is fundamental for understanding the
asymptotic behavior of solutions to evolutionary problems. In this paper we investigate the …

In this paper we study several PDE problems where certain linear or nonlinear termsin the
equation concentrate in the domain, typically near the boundary. We analyze some linear …

In this paper, we first prove the well-posedness for the non-autonomous reaction-diffusion
equations on the entire space R^N in the setting of locally uniform spaces with singular …

Due to the lack of the maximum principle the analysis of higher order parabolic problems in
RN is still not as complete as the one of the second-order reaction–diffusion equations …