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Author : M. Lees
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Unique Continuation for Parabolic Differential Equations and Inequalities written by M. Lees and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chrisopher B. Croke
Publisher : Springer Science & Business Media
ISBN 13 : 1468493752
Total Pages : 334 pages
Book Rating : 4.4/5 (684 download)
Download or read book Geometric Methods in Inverse Problems and PDE Control written by Chrisopher B. Croke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title. We would like to thank Christopher B. Croke (University of Penn sylva nia), Irena Lasiecka (University of Virginia), Gunther Uhlmann (University of Washington), and Michael S. Vogelius (Rutgers University) for their ex cellent work as organizers of the two-week summer workshop and for editing the volume. We also take this opportunity to thank the National Science Founda tion for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE This volume contains a selected number of articles based on lectures delivered at the IMA 2001 Summer Program on "Geometric Methods in Inverse Problems and PDE Control. " The focus of this program was some common techniques used in the study of inverse coefficient problems and control problems for partial differential equations, with particular emphasis on their strong relation to fundamental problems of geometry. Inverse coef ficient problems for partial differential equations arise in many application areas, for instance in medical imaging, nondestructive testing, and geophys ical prospecting. Control problems involving partial differential equations may arise from the need to optimize a given performance criterion, e. g. , to dampen out undesirable vibrations of a structure , or more generally, to obtain a prescribed behaviour of the dynamics.
Author : Murray H. Protter
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.3/5 (91 download)
Download or read book Properties of Solutions of Parabolic Equations and Inequalities written by Murray H. Protter and published by . This book was released on 1960 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milton Lees
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Backward Cauchy Problem for Parabolic Differential Inequalities written by Milton Lees and published by . This book was released on 1960 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080932592
Total Pages : 540 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2009-04-29 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology. This volume follows the format set by the preceding volumes, presenting numerous contributions that reflect the nature of the area of evolutionary partial differential equations. The book is comprised of five chapters that feature the following: - A thorough discussion of the shallow-equations theory, which is used as a model for water waves in rivers, lakes and oceans. It covers the issues of modeling, analysis and applications - • Evaluation of the singular limits of reaction-diffusion systems, where the reaction is fast compared to the other processes; and applications that range from the theory of the evolution of certain biological processes to the phenomena of Turing and cross-diffusion instability - Detailed discussion of numerous problems arising from nonlinear optics, at the high-frequency and high-intensity regime • Geometric and diffractive optics, including wave interactions - Presentation of the issues of existence, blow-up and asymptotic stability of solutions, from the equations of solutions to the equations of linear and non-linear thermoelasticity - Answers to questions about unique space, such as continuation and backward uniqueness for linear second-order parabolic equations. Research mathematicians, mathematics lecturers and instructors, and academic students will find this book invaluable - Review of new results in the area - Continuation of previous volumes in the handbook series covering evolutionary PDEs - New content coverage of DE applications
Author : Lakshmikantham
Publisher : Academic Press
ISBN 13 : 0080955649
Total Pages : 335 pages
Book Rating : 4.0/5 (89 download)
Download or read book Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations written by Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations
Author : Murray H. Protter
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Behavior and Uniqueness Theorems for Hyperbolic Equations and Inequalities written by Murray H. Protter and published by . This book was released on 1960 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murray H. Protter
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Unique Continuation for Elliptic Equations written by Murray H. Protter and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Avner Friedman
Publisher : Courier Corporation
ISBN 13 : 0486318265
Total Pages : 369 pages
Book Rating : 4.4/5 (863 download)
Download or read book Partial Differential Equations of Parabolic Type written by Avner Friedman and published by Courier Corporation. This book was released on 2013-08-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.
Author : Nicolas Lerner
Publisher : Springer
ISBN 13 : 3030159930
Total Pages : 576 pages
Book Rating : 4.0/5 (31 download)
Download or read book Carleman Inequalities written by Nicolas Lerner and published by Springer. This book was released on 2019-05-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
Author : Amy Cohen Murray
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.:/5 (34 download)
Download or read book Asymptotic Behavior and Unique Continuation for Hyperbolic Operators written by Amy Cohen Murray and published by . This book was released on 1970 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Rozier Cannon
Publisher : Cambridge University Press
ISBN 13 : 9780521302432
Total Pages : 522 pages
Book Rating : 4.3/5 (24 download)
Download or read book The One-Dimensional Heat Equation written by John Rozier Cannon and published by Cambridge University Press. This book was released on 1984-12-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
Author : L. E. Payne
Publisher : SIAM
ISBN 13 : 9781611970463
Total Pages : 81 pages
Book Rating : 4.9/5 (74 download)
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Author : Goong Chen
Publisher : CRC Press
ISBN 13 : 9780203904190
Total Pages : 382 pages
Book Rating : 4.9/5 (41 download)
Download or read book Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and published by CRC Press. This book was released on 2001-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
Author : Xiaoyu Fu
Publisher : Springer Nature
ISBN 13 : 3030295303
Total Pages : 136 pages
Book Rating : 4.0/5 (32 download)
Download or read book Carleman Estimates for Second Order Partial Differential Operators and Applications written by Xiaoyu Fu and published by Springer Nature. This book was released on 2019-10-31 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1961 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Henry
Publisher : Springer
ISBN 13 : 3540385282
Total Pages : 353 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometric Theory of Semilinear Parabolic Equations written by Daniel Henry and published by Springer. This book was released on 2006-11-15 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
