Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

In a real Hilbert space H, in order to develop fast optimization methods, we analyze the
asymptotic behavior, as time t tends to infinity, of a large class of autonomous dissipative …

The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

Linear differential equations in Banach spaces are systematically treated with the help of
Laplace transforms. The central tool is an “integrated version” of Widder's theorem …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

In this paper, we generalize the notion of an attractor for the stochastic dynamical system
introduced in [7]. We prove that the stochastic attractor satisfies most of the properties …

Let H be a real Hilbert space and Φ: H↦ R a continuously differentiable function, whose
gradient is Lipschitz continuous on bounded sets. We study the nonlinear dissipative …

We study the asymptotic behavior at infinity of solutions of a second order evolution equation
with linear damping and convex potential. The differential system is defined in a real Hilbert …

In this chapter we present some of the recent progresses done on the problem of
controllability of partial differential equations (PDE). Control problems for PDE arise in many …