In this paper we are concerned with the asymptotic behavior of semilinear parabolic
problems with nonlinear boundary conditions. For these type of problems our aim is to …

In this paper, the existence, stability, and multiplicity of steady-state solutions and periodic
solutions for a reaction-diffusion model with nonlocal delay effect and nonlinear boundary …

In this paper we obtain global well-posedness results for the strongly damped wave
equation u tt+(− Δ) 𝜃 ut= Δ u+ f (u), for 𝜃∈[1, 1] 2, in H 0 1 (Ω)× L 2 (Ω) when Ω is a bounded …

In this article the strongly damped wave equation is considered and a local well posedness
result is obtained in the product space. The space of initial conditions is chosen according to …

We consider semilinear problems of the form u′= Au+ f (u), where A generates an
exponentially decaying compact analytic C 0-semigroup in a Banach space E, f: E α→ E is …

Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions:
Dissipativity and blow-up Repository logo Español English Log In My UCM account …

The dynamics of the reaction-diffusion-advection population models with linear boundary
condition has been widely studied. This paper is devoted to the dynamics of a reaction …

A differential inequality technique is used to determine a lower bound on the blow-up time
for solutions to the heat equation subject to a nonlinear boundary condition when blow-up of …

In this paper we give general and flexible conditions for a reaction diffusion equation to be
dissipative in an unbounded domain. The functional setting is based on standard Lebesgue …

In this paper we are concerned with local existence, regularity and continuous dependence
upon the initial data of ϵ ϵ-regular mild solutions for the abstract integrodifferential equation …