5,850 research outputs found

    First-order evolution equations with dynamic boundary conditions: Dynamic boundary conditions

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    In this paper, we introduce a general framework to study linear first-order evolution equations on a Banach space X with dynamic boundary conditions, that is with boundary conditions containing time derivatives. Our method is based on the existence of an abstract Dirichlet operator and yields finally to equivalent systems of two simpler independent equations. In particular, we are led to an abstract Cauchy problem governed by an abstract Dirichlet-to-Neumann operator on the boundary space ∂X. Our approach is illustrated by several examples and various generalizations are indicated. This article is part of the theme issue 'Semigroup applications everywhere'

    Operators with Wentzell boundary conditions and the Dirichlet‐to‐Neumann operator

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    In this paper we relate the generator property of an operator A with (abstract) generalized Wentzell boundary conditions on a Banach space X and its associated (abstract) Dirichlet-to-Neumann operator N acting on a “boundary” space ∂X. Our approach is based on similarity transformations and perturbation arguments and allows to split A into an operator A_00 with Dirichlet-type boundary conditions on a space X 0 of states having “zero trace” and the operator N . If A_00 generates an analytic semigroup, we obtain under a weak Hille–Yosida type condition that A generates an analytic semigroup on X if and only if N does so on ∂X. Here we assume that the (abstract) “trace” operator L : X → ∂X is bounded what is typically satisfied if X is a space of continuous functions. Concrete applications are made to various second order differential operators

    Do dolphins benefit from nonlinear mathematics when processing their sonar returns?

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    An interview with author Tim Leighton about the paper

    Tim Di Muzio on 'Sabotage'

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    In a series of essays published in 2013 and 2014 on capitaspower.com, political economist Tim Di Muzio explored the concept of ‘sabotage’ as it applies to capitalist power. I recently rediscovered these essays and was so impressed by them that I have reposted them here as a single piece. About the author: Tim Di Muzio is a researcher at the University of Wollongong. He is the author of numerous books, including Debt as power, Carbon capitalism, and The 1% and the Rest of us

    1996-1997 Tim Gautreaux

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    Tim Gautreaux is the author of three novels and two earlier short story collections. His work has appeared in The New Yorker, The Best American Short Stories, The Atlantic, Harper’s, and GQ. After teaching for thirty years at Southeastern Louisiana University, he now lives, with his wife, in Chattanooga, Tennessee. (Photo credit: Randy Bergeron)https://egrove.olemiss.edu/grisham_res/1023/thumbnail.jp

    First person - Tim Petzold

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    First Person is a series of interviews with the first authors of a selection of papers published in Biology Open, helping researchers promote themselves alongside their papers. Tim Petzold is first author on ‘ Connexin 41.8 governs timely haematopoietic stem and progenitor cell specification’, published in BiO. Tim conducted the research described in this article while a PhD student in Julien Bertrand's lab at the Department of Pathology and Immunology, Faculty of Medicine, University of Geneva, Switzerland. He is now a postdoc in the lab of Holger Gerhardt at the Max Delbrück Center for Molecular Medicine in the Helmholtz Association, Berlin, Germany, investigating developmental biology – previously his focus was on how blood stem cells develop and now it has shifted to how the vascular system develops

    Tim Seibles, 40th Annual ODU Literary Festival

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    Tim Seibles is the author of several poetry collections including Hurdy-Gurdy, Hammerlock, Buffalo Head Solos, and Fast Animal, which was a finalist for the 2012 National Book Award. In 2013 he received both the Pen Oakland Josephine Miles Award for poetry and an honorary Doctorate of Humane Letters from Misericordia University for his literary accomplishments. His latest collection, One Turn Around the Sun, has just been released. Tim is the current Poet Laureate of Virginia and is a Professor of English at Old Dominion University where he teaches literature as well as classes in the MFA in writing program

    Tim Seibles, 39th Annual ODU Literary Festival

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    Tim Seibles is the author of several poetry collections including Hurdy-Gurdy, Hammerlock, Buffalo Head Solos, and Fast Animal, which was a finalist for the 2012 National Book Award. In 2013 he received both the Pen Oakland Josephine Miles Award for poetry and an honorary Doctorate of Humane Letters from Misericordia University for his literary accomplishments. His latest collection, One Turn Around the Sun, has just been released. Tim is the current Poet Laureate of Virginia and is a Professor of English at Old Dominion University where he teaches literature as well as classes in the MFA in writing program

    Global Media Ideas - Infinite Pathways to Creative Succes - Tim Chang - Part One.mp4

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    During the X Media Lab: Global Media Ideas summit in June 2011 media and technology writer Brad Howarth conducted interviews with industry experts for Creativeinnovation. This video is part one of Brad Howarth's interview with Tim Chang about his role as Partner at Norwest Venture Partners (Palo Alto). Tim focuses on investments in mobile, gaming, digital media, and also leads Norwest Venture Partners's investment practice in China and Asia-Pacific. Tim shares tips on how to get an introduction to a Venture Capital; the elements of a good pitch and follow-up. And what he looks at when considering a deal - The 3Ts: Team, Traction, Tier 1 co-investors
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