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

In Section 2.1 the basic theory of sectorial operators is developed, including examples and
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …

In these lecture notes we report on recent breakthroughs in the functional analytic approach
to maximal regularity for parabolic evolution equations, which set off a wave of activity in the …

This book makes available to researchers and advanced graduates a simple and direct
presentation of the fundamental aspects of the theory of fractional powers of non-negative …

In this paper we investigate vector-valued parabolic initial boundary value problems
(\mathcal A (t, x, D),\mathcal B_j (t, x, D)) subject to general boundary conditions in domains …

This is a survey on recent developments of the theory of one-parameter semigroups and
evolution equations with special emphasis on functional calculus and kernel estimates. Also …

We establish maximal regularity of type Lp for a parabolic evolution equation u′(t)= A (t) u
(t)+ f (t) with A (·)∈ C ([0, T], L (D (A (0)), X)) and construct the corresponding evolution family …

In this paper we show that the L p-realization of a vector-valued elliptic boundary value
problem (, j) admits a bounded∞-calculus on L p (G; E), 1< p<∞, provided the top-order …

We prove maximal L^p-regularity for the stochastic evolution equation
dU(t)+AU(t)\,dt=F(t,U(t))\,dt+B(t,U(t))\,dW_H(t),t∈0,T, U(0)=u_0, under the assumption that A …

We prove comparison theorems for the H∞-calculus that allow to transfer the property of
having a bounded H∞-calculus from one sectorial operator to another. The basic technical …