Approximating the coefficients in semilinear stochastic partial differential equations

We investigate, in the setting of UMD Banach spaces E, the continuous dependence on the data A, F, G and X_0 of mild solutions of semilinear stochastic evolution equations with multiplicative noise of the form dX(t) = [AX(t) + F(t,X(t))]dt + G(t,X(t))dW_H(t), X(0)=X_0, where W_H is a cylindrical Brownian motion on a Hilbert space H. We prove continuous dependence of the compensated solutions X(t)-e^{tA}X_0 in the norms L^p(\Omega;C^\lambda([0,T];E)) assuming that the approximating operators A_n are uniformly sectorial and converge to A in the strong resolvent sense, and that the approximating nonlinearities F_n and G_n are uniformly Lipschitz continuous in suitable norms and converge to F and G pointwise. Our results are applied to a class of semilinear parabolic SPDEs with finite-dimensional multiplicative noise.Comment: Referee's comments have been incorporate

Non Linear Current Response of a Many-Level Tunneling System: Higher Harmonics Generation

The fully nonlinear response of a many-level tunneling system to a strong alternating field of high frequency $\omega$ is studied in terms of the Schwinger-Keldysh nonequilibrium Green functions. The nonlinear time dependent tunneling current $I(t)$ is calculated exactly and its resonance structure is elucidated. In particular, it is shown that under certain reasonable conditions on the physical parameters, the Fourier component $I_{n}$ is sharply peaked at $n=\frac {\Delta E} {\hbar \omega}$, where $\Delta E$ is the spacing between two levels. This frequency multiplication results from the highly nonlinear process of $n$ photon absorption (or emission) by the tunneling system. It is also conjectured that this effect (which so far is studied mainly in the context of nonlinear optics) might be experimentally feasible.Comment: 28 pages, LaTex, 7 figures are available upon request from [email protected], submitted to Phys.Rev.

Comprehensive lung injury pathology induced by mTOR inhibitors

Molecular Targets in Oncology[Abstract] Interstitial lung disease is a rare side effect of temsirolimus treatment in renal cancer patients. Pulmonary fibrosis is characterised by the accumulation of extracellular matrix collagen, fibroblast proliferation and migration, and loss of alveolar gas exchange units. Previous studies of pulmonary fibrosis have mainly focused on the fibro-proliferative process in the lungs. However, the molecular mechanism by which sirolimus promotes lung fibrosis remains elusive. Here, we propose an overall cascade hypothesis of interstitial lung diseases that represents a common, partly underlying synergism among them as well as the lung pathogenesis side effects of mammalian target of rapamycin inhibitors

A characterization of Enflo-operators

SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

A characterization of orthogonal transition kernels

SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

When in Doubt, Throw It Out! The Complicated Decision to Consume (or Waste) Food by Date Labels

Consumers find food date labels confusing. Industry groups and policy makers intend to resolve the confusion by creating a single label for safety and another for quality. In a survey of consumers concerning anticipated consumption given various date labels, we find differential responses across products, leading us to conclude that new labels may not necessarily reduce waste

Decompositions of positive operators and some of their applications

56 refs.SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Seeing beyond the battled body - An insight into self-hood and identity from women's accounts who self-harm with a diagnosis of borderline personality disorder.

noBackground: Self-harm (self poisoning and self-injury) is broadly characterised as any act intended to harm one's own body, without a conscious intent to die. Research indicates that when practitioners encounter self-harm they often remain anxious, fearful, frustrated, and challenged about such individuals, principally because they are constrained to understand and respond to self-harm almost exclusively within a problematised discourse (Walker, 2006). That is, a problem that must be diagnosed and contained. Women who self-harm with a diagnosis of BPD are often portrayed as being risky, chaotic and their identity can be unstable. The aim of this study was to examine and explore the subjective experiences of women who self-harm with a diagnosis of BPD. Participants: Four women who had a history of self-harming behaviour with the diagnosis of BPD volunteered for the study. Method: Face-to-face, in-depth narrative interviews were undertaken and were analysed within a framework which drew upon aspects of the ¿performance¿ (Langellier, 1989; 2001) and ¿narrative thematic¿ approaches (Reissman, 1993). Findings: Two of the participant's accounts illustrate how their self-harming appeared to have affected their selfhood and sense of agency. They discuss how the external signs of self-harm may take over their identity and how others communicate and interact with them. Despite the problematic nature of self-harm implications for practice are highlighted which practitioners may draw upon in their work around self-harm