Upper semicontinuity of attractors for nonclassical diffusion equations in H1(R3) -
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We consider monotone semigroups in ordered spaces and give general results concerning
the existence of extremal equilibria and global attractors. We then show some applications …

Bi-spaces global and exponential attractors for the time continuous dynamical systems are
considered and the bounds on their fractal dimension are discussed in the context of the …

We consider a nonlinear reaction–diffusion equation on the whole space Rd. We prove the
well-posedness of the corresponding Cauchy problem in a general functional setting …

Attractors and asymptotic regularity for nonclassical diffusion equations in locally uniform
spaces with critical exponent - IOS Press You are viewing a javascript disabled version of the …

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 …

We consider a reaction diffusion equation ut= Δu+ f (x, u) in ℝN with initial data in the locally
uniform space, q∈[1,∞), and with dissipative nonlinearities satisfying sf (x, s)≤ C (x) s2+ D …

The paper is devoted to local and global solvability in locally uniform spaces and to the
existence of a global attractor for a parabolic problem containing fractional power of the …

We consider the local existence and the uniqueness of a weak solution of the initial
boundary value problem to a convection–diffusion equation in a uniformly local function …

We consider the well-posedness of the Cauchy problem for convection-diffusion equations
in uniformly local Lebesgue spaces L^r_uloc(\mathbbR^n). In our setting, an initial function …