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Evolution Equations, Semigroups and Functional Analysis
Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.
Towards a neuroscience of social interaction
The burgeoning field of social neuroscience has begun to illuminate the complex biological bases of human social cognitive abilities. However, in spite of being based on the premise of investigating the neural bases of interacting minds, the majority of studies have focused on studying brains in isolation using paradigms that investigate offline social cognition, i.e. social cognition from a detached observer's point of view, asking study participants to read out the mental states of others without being engaged in interaction with them. Consequently, the neural correlates of real-time social interaction have remained elusive and may —paradoxically— represent the 'dark matter' of social ...
Differential Equations
With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientifi
Evolution Equations, Semigroups and Functional Analysis
Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi
Differential Equations in Banach Spaces
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.
Structure Topology and Symplectic Geometry
This book presents a broad overview of the theory and applications of structure topology and symplectic geometry. Over six chapters, the authors cover topics such as linear operators, Omega and Clifford algebra, and quasiconformal reflection across polygonal lines. The book also includes four interesting case studies on time series analysis in practice. Finally, it provides a snapshot of some current trends and future challenges in the research of symplectic geometry theory. Structure Topology and Symplectic Geometry is a resource for scholars, researchers, and teachers in the field of mathematics, as well as researchers and students in engineering.
Current Topics in Gastritis
Gastritis, as a medical term, exists for the last 150 years, however, terminology and etiology (including the prognosis ) has changed. Gastritis related medical problems are in the focus of different sub-disciplines: internists , gastroenterologists, pathologists, immunologists, bacteriologists, genetics, biologists etc. After the publications by Marshall and Warren most of the clinicians accepted only the etiopathological role of Helicobacter pylori in the development of gastric and duodenal ulcer , as well as in the gastric cancer. This book presents chapters abou the history of gastritis terminology, animal models, epidemiology, new gastric mucosal endogenous defensive neural mechanism (capsaicin-sinsitive afferentation), different research and clinical methods applied to the background studies and the molecular pathology, biochemistry and genetics involved in the pathways from Helicobacter pylori infection to development of gastric cancer. Intended audience of this book are internists, gastroenterologists, pathologists, bacteriologists, pharmacologists, genetics, biologists , immunologists and other interested researchers.
神奇的外泌體
外泌體如同雞精，而幹細胞就像雞湯 在濃度和效果上，雞精更勝雞湯 ——杜元坤高雄義大醫院院長 ｛為何外泌體被稱為再生醫學的新希望 ？} ◎ 奈米級分子：分子結構小，易於吸收，生物相容性高。 ◎ 雙層脂質膜結構：可保持生物活性，帶來再生修復作用。 ◎ 訊息載體機制：訊息分子變化反映來源細胞的生理及功能狀況，幫助疾病診斷與治療。 ◎ 高穩定度、精準靶向性：穩定且可全身循環，組織穿透性強，是藥物載體的理想選擇。 ◎ 應用範圍廣泛：從疾病診斷治療、醫藥保健到抗老護膚，影響及成效顯著。 外泌體由...
Multiple Gravity Assist Interplanetary Trajectories
Reflecting the results of twenty years; experience in the field of multipurpose flights, this monograph includes the complex routes of the trajectories of a number of bodies (e.g., space vehicles, comets) in the solar system. A general methodological approach to the research of flight schemes and the choice of optimal performances is developed. Additionally, a number of interconnected methods and algorithms used at sequential stages of such development are introduced, which allow the selection of a rational multipurpose route for a space vehicle, the design of multipurpose orbits, the determination of optimal space vehicle design, and ballistic performances for carrying out the routes chosen. Other topics include the practical results obtained from using these methods, navigation problems, near-to-planet orbits, and an overview of proven and new flight schemes.
New Prospects in Direct, Inverse and Control Problems for Evolution Equations
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.
