<p><p>This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. <i>Carleman Estimates for Second Order Partial Differential Operators and Applications</i> will be of interest to all researchers in the field.</p> <br /></p>

Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach (SpringerBriefs in Mathematics)

Fu, Xiaoyu

Lü, Qi

Zhang, Xu

Reference

Springer

<p>This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. <div><br /></div> <div>A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book. <p><br /></p> </div></p>

Mathematical Control Theory for Stochastic Partial Differential Equations (Probability Theory and Stochastic Modelling, 101)

Mathematical Control Theory for Stochastic Partial Differential Equations (Probability Theory and Stochastic Modelling)

<p>This book is an interdisciplinary study of English binominal quantitative constructions based on English-Chinese comparison. Taking three perspectives, i.e. a functional-typological perspective, a cognitive approach, and a corpus-based method, it aims to unveil the hidden categorisation process behind the usage of English binominal quantitative constructions and to reveal the language universal in cognising the concepts of ‘Quantity’ and ‘Quality’. It argues against treating Chinese and English as members of two opposing typological camps concerning quantification modes (‘classifier languages’ versus ‘non-classifier languages’) and advocates to view the two languages as lying within a more extended and inclusive system, viz. a system of quantification and categorisation modes, or a Quantity-Quality continuum.</p>

English Quasi-Numeral Classifiers: A Corpus-Based Cognitive-Typological Study (Linguistic Insights)

Literature & Fiction

History & Criticism

Peter Lang AG, Internationaler Verlag der Wissenschaften

The classical Pontryagin maximum principle (addressed to deterministic finite dimensional control systems) is one of the three milestones in modern control theory. The corresponding theory is by now well-developed in the deterministic infinite dimensional setting and for the stochastic differential equations. However, very little is known about the same problem but for controlled stochastic (infinite dimensional) evolution equations when the diffusion term contains the control variables and the control domains are allowed to be non-convex. Indeed, it is one of the longstanding unsolved problems in stochastic control theory to establish the Pontryagin type maximum principle for this kind of general control systems: this book aims to give a solution to this problem. This book will be useful for both beginners and experts who are interested in optimal control theory for stochastic evolution equations.

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions (SpringerBriefs in Mathematics)

Thinking force ( concept ideas determine the decision to act ) : Zhang Xu 118(Chinese Edition)

Federation

The library development Glance two (full)(Chinese Edition)

Beijing Yanshan Press

How to Paint Peony (Chinese Edition)

Tianjin YangLiuQing Fine Arts Press

See the best price to sell, buy, or rent books by Zhang, Xu. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Zhang, Xu