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Blow-up in Nonlinear Sobolev Type Equations
The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time. The abstract results apply to a large variety of problems. Thus, the well-known Benjamin-Bona-Ma...
Blow-Up in Nonlinear Equations of Mathematical Physics
The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results
House Documents
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Minimally Invasive Urology
This new edition provides updated procedural recommendations and outcomes in all areas of endoscopic, robotic, and laparoscopic urology. New chapters cover alternative minimally invasive techniques for the management of benign prostatic hyperplasia, as well as an in-depth review of instrumentation for stone surgery. All chapters contain new or revised “equipment lists” and tips and tricks for the practicing urologist, covering a broad spectrum of urologic diseases. Authored by a wide array of leaders in the field known for both their clinical prowess and commitment to education, the second edition of Minimally Invasive Urology: An Essential Clinical Guide to Endourology, Laparoscopy, LESS and Robotics provides a critical resource for clinicians, surgeons, operating room technicians, operating room managers and hospital administration.
Antioxidants in Food, Vitamins and Supplements
Antioxidants in Food, Vitamins and Supplements bridges the gap between books aimed at consumers and technical volumes written for investigators in antioxidant research. It explores the role of oxidative stress in the pathophysiology of various diseases as well as antioxidant foods, vitamins, and all antioxidant supplements, including herbal supplements. It offers healthcare professionals a rich resource of key clinical information and basic scientific explanations relevant to the development and prevention of specific diseases. The book is written at an intermediate level, and can be easily understood by readers with a college level chemistry and biology background. Covers both oxidative stress-induced diseases as well as antioxidant-rich foods (not the chemistry of antioxidants) Contains easy-to-read tables and figures for quick reference information on antioxidant foods and vitamins Includes a glycemic index and a table of ORAC values of various fruits and vegetables for clinicians to easily make recommendations to patients
Insect immunity and its interactions with microorganisms and parasitoids
Insects are a group of abundant and diverse organisms that have successfully adapted to the most challenging conditions on earth. The success of insects in adverse environments indicates the advanced defense mechanisms employed by these organisms, but they are often targeted by specialized microorganisms (viruses, bacteria, nematodes, & fungi) and parasitoids. Insects exhibit both humoral and cellular immune responses against pathogens. The lack of an adaptive immune system has compelled insects to choose immediate non-specific but sophisticated responses that include the production of antimicrobial peptides, phenoloxidase, apoptosis, phagocytosis, encapsulation, and nodulation. In recent de...
Mathematical Reviews
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Community Series in Recent Advances in Drosophila Cellular and Humoral Innate Immunity, volume II
The fruit fly Drosophila melanogaster is an established tool to study mechanisms of innate immunity. Drosophila flies and larvae launch elegant humoral and cellular innate immune responses against bacteria, viruses, fungi and parasites. The humoral immune response is based on microbial recognition primarily by peptidoglycan recognition proteins leading to the production of antimicrobial peptides (AMPs). In the past few decades, Drosophilists have dissected how flies react to systemic bacterial and fungal infections at the molecular level and shown how these mechanisms are conserved from human to man. Fly humoral immune response is mainly mediated by two evolutionarily conserved NF-κB signal...
