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Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients

Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients
Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients
English | 2022 | ISBN: 981193830X | 150 Pages | PDF EPUB (True) | 9 MB
This book provides analytic tools to describe local and global behavior of solutions to Itô-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift. Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities, various types of non-explosion criteria, and long time behavior, e.g., transience, recurrence, and convergence to stationarity. The approach is based on the realization of the transition semigroup associated with the solution of a stochastic differential equation as a strongly continuous semigroup in the Lp-space with respect to a weight that plays the role of a sub-stationary or stationary density. This way we obtain in particular a rigorous functional analytic description of the generator of the solution of a stochastic differential equation and its full domain. The existence of such a weight is shown under broad assumptions on the coefficients. A remarkable fact is that although the weight may not be unique, many important results are independent of it. Given such a weight and semigroup, one can construct and further analyze in detail a weak solution to the stochastic differential equation combining variational techniques, regularity theory for partial differential equations, potential, and generalized Dirichlet form theory. Under classical-like or various other criteria for non-explosion we obtain as one of our main applications the existence of a pathwise unique and strong solution with an infinite lifetime. These results substantially supplement the classical case of locally Lipschitz or monotone coefficients.We further treat other types of uniqueness and non-uniqueness questions, such as uniqueness and non-uniqueness of the mentioned weights and uniqueness in law, in a certain sense, of the solution.

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Analysis of Reaction-Diffusion Models with the Taxis Mechanism

Analysis of Reaction-Diffusion Models with the Taxis Mechanism
Analysis of Reaction-Diffusion Models with the Taxis Mechanism
English | 2022 | ISBN: 9811937621 | 420 Pages | PDF EPUB (True) | 48 MB
This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.

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An Introduction to Bioanalysis of Biopharmaceuticals

An Introduction to Bioanalysis of Biopharmaceuticals
An Introduction to Bioanalysis of Biopharmaceuticals
English | 2022 | ISBN: 3030971929 | 169 Pages | PDF EPUB (True) | 11 MB
The book provides a comprehensive review of the fundamental and practical aspects of bioanalytical support and the integral role it plays in the development of safe and efficacious biopharmaceutical drugs with speed and cost-effectiveness. The book focuses on a broad range of conventional and emerging biopharmaceutical modalities including monoclonal antibody-based therapeutics, gene therapy, cell therapy, peptides and oligonucleotides.

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An Iliad

An Iliad
Denis O'Hare, "An Iliad"
English | 2014 | ISBN: 0715647407 | ASIN: B07MW9CBSC | EPUB | pages: 96 | 1.9 mb
From Robert Fagles's acclaimed translation, An Iliad telescopes Homer's Trojan War epic into a gripping monologue that captures both the heroism and horror of war. Crafted around the stories of Achilles and Hector, in language that is by turns poetic and conversational, An Iliad brilliantly refreshes this world classic. What emerges is a powerful piece of theatrical storytelling that vividly drives home the timelessness of mankind's compulsion toward violence.

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American Rascal How Jay Gould Built Wall Street's Biggest Fortune

American Rascal How Jay Gould Built Wall Street's Biggest Fortune
Greg Steinmetz, "American Rascal: How Jay Gould Built Wall Street's Biggest Fortune"
English | ISBN: 1982107405 | 2022 | EPUB | 320 pages | 4 MB
The gripping biography of Jay Gould, the greatest 19th-century robber barons, whose brilliance, greed, and bare-knuckled tactics made him richer than Rockefeller and led Wall Street to institute its first financial reforms.

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American Musical Life in Context and Practice to 1865

American Musical Life in Context and Practice to 1865
James R. Heintze, "American Musical Life in Context and Practice to 1865 "
English | ISBN: 113836584X | 2018 | 374 pages | EPUB | 4 MB
First published in 1994. This study covers a wide cross-section of topics, individuals, groups, and musical practices representing various regions and cities. The subjects discussed reflect the religious, ethnic, and social plurality of the American musical experience as well as the impact on cultural society provided by the arrival of new musical immigrants and the internal movements of musicians and musical practices. The essays are arranged principally on the basis of the historical chronology of the cultural practices and subjects discussed. Each article helps to shed additional light on cultural expressions through music in eighteenth- and nineteenth-century America.

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Alternative Medicines for Diabetes Management Advances in Pharmacognosy and Medicinal Chemistry

Alternative Medicines for Diabetes Management Advances in Pharmacognosy and Medicinal Chemistry
Varma H. Rambaran, "Alternative Medicines for Diabetes Management: Advances in Pharmacognosy and Medicinal Chemistry "
English | ISBN: 103234489X | 2022 | 218 pages | PDF | 46 MB
Apart from diet and exercise, the strategic use of different classes of prescribed or non-prescribed xenobiotic compounds for the restoration of euglycemic levels in the body is well known. The ongoing rivalry between the recommended usage of allopathic medicines versus ayurvedic remedies has encouraged many researchers to focus their studies on thoroughly isolating and characterizing the extracts from different parts of plants and then evaluating their relative activities via in vitro, in vivo and in some cases clinical studies.

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