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Author : Hi Jun Choe
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)
Download or read book Degenerate Elliptic and Parabolic Equations and Variational Inequalities written by Hi Jun Choe and published by . This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hi Jun Choe
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)
Download or read book Degenerate Elliptic and Parabolic Equations and Variational Inequalities written by Hi Jun Choe and published by . This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E.W. Stredulinsky
Publisher : Springer
ISBN 13 : 3540389288
Total Pages : 149 pages
Book Rating : 4.5/5 (43 download)
Download or read book Weighted Inequalities and Degenerate Elliptic Partial Differential Equations written by E.W. Stredulinsky and published by Springer. This book was released on 2006-12-08 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. V. Ivanov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830802
Total Pages : 306 pages
Book Rating : 4.8/5 (38 download)
Download or read book Quasilinear Degenerate and Nonuniformly Elliptic and Parabolic Equations of Second Order written by A. V. Ivanov and published by American Mathematical Soc.. This book was released on 1984 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Kinderlehrer
Publisher : SIAM
ISBN 13 : 0898714664
Total Pages : 328 pages
Book Rating : 4.8/5 (987 download)
Download or read book An Introduction to Variational Inequalities and Their Applications written by David Kinderlehrer and published by SIAM. This book was released on 2000-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.
Author : Genni Fragnelli
Publisher : Springer Nature
ISBN 13 : 303069349X
Total Pages : 105 pages
Book Rating : 4.0/5 (36 download)
Download or read book Control of Degenerate and Singular Parabolic Equations written by Genni Fragnelli and published by Springer Nature. This book was released on 2021-04-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.
Author : Edward W. Stredulinsky
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (227 download)
Download or read book Weighted Inequalities and Degenerate Elliptic Partial Differential Equations written by Edward W. Stredulinsky and published by . This book was released on 1984 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various weighted inequalities and weighted function spaces relevant to degenerate partial differential equations are studied. The results are applied to degenerate second order divergence form elliptic equations and systems to establish continuity of weak solutions. The methods used allow the consideration of very general classes of weights. In particular the weights are characterized for several Sobolev inequalities in terms of weighted capacities, a theorem is proven for weighted reverse Holder inequalities and a continuity estimate is established for certain weighted Sobolev spaces. (Author).
Author : Serge Levendorskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401712158
Total Pages : 442 pages
Book Rating : 4.4/5 (17 download)
Download or read book Degenerate Elliptic Equations written by Serge Levendorskii and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.
Author : John Lewis
Publisher : Springer
ISBN 13 : 3642271456
Total Pages : 259 pages
Book Rating : 4.6/5 (422 download)
Download or read book Regularity Estimates for Nonlinear Elliptic and Parabolic Problems written by John Lewis and published by Springer. This book was released on 2012-03-02 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.
Author : Ireneo Peral Alonso
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110605600
Total Pages : 406 pages
Book Rating : 4.1/5 (16 download)
Download or read book Elliptic and Parabolic Equations Involving the Hardy-Leray Potential written by Ireneo Peral Alonso and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.
Author : Maria Colombo
Publisher : Springer
ISBN 13 : 8876426078
Total Pages : 285 pages
Book Rating : 4.8/5 (764 download)
Download or read book Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations written by Maria Colombo and published by Springer. This book was released on 2017-06-07 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.
Author : Zhuoqun Wu
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101709
Total Pages : 425 pages
Book Rating : 4.8/5 (131 download)
Download or read book Elliptic And Parabolic Equations written by Zhuoqun Wu and published by World Scientific Publishing Company. This book was released on 2006-10-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents the related basic theories and methods to enable readers to appreciate the commonalities between these two kinds of equations as well as contrast the similarities and differences between them.
Author : C Bandle
Publisher : CRC Press
ISBN 13 : 1000115275
Total Pages : 272 pages
Book Rating : 4.0/5 (1 download)
Download or read book Elliptic and Parabolic Problems written by C Bandle and published by CRC Press. This book was released on 2020-11-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics, mechanics and engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1461415845
Total Pages : 287 pages
Book Rating : 4.4/5 (614 download)
Download or read book Harnack's Inequality for Degenerate and Singular Parabolic Equations written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p/i”2 or im/i”1) and in the singular range (1“ip/i2 or 0“im/i
Author : Alexander A. Kovalevsky
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110332248
Total Pages : 448 pages
Book Rating : 4.1/5 (13 download)
Download or read book Singular Solutions of Nonlinear Elliptic and Parabolic Equations written by Alexander A. Kovalevsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-03-21 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form. The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis. Contents: Foreword Part I: Nonlinear elliptic equations with L^1-data Nonlinear elliptic equations of the second order with L^1-data Nonlinear equations of the fourth order with strengthened coercivity and L^1-data Part II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order Removability of singularities of the solutions of quasilinear elliptic equations Removability of singularities of the solutions of quasilinear parabolic equations Quasilinear elliptic equations with coefficients from the Kato class Part III: Boundary regimes with peaking for quasilinear parabolic equations Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations Method of functional inequalities in peaking regimes for parabolic equations of higher orders Nonlocalized regimes with singular peaking Appendix: Formulations and proofs of the auxiliary results Bibliography
Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9812779434
Total Pages : 453 pages
Book Rating : 4.8/5 (127 download)
Download or read book Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy written by Guo Chun Wen and published by World Scientific. This book was released on 2008 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J M Rassias. The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. The corresponding problems for first order complex equations with singular coefficients are first discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivative notations and complex analytic methods such that the forms of the above first order complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above TricomiOCo Bers and TricomiOCoFranklOCoRassias problems can be solved. Sample Chapter(s). Chapter 1: Elliptic Complex Equations of First Order (247 KB). Contents: Elliptic Complex Equations of First Order; Elliptic Complex Equations of Second Order; Hyperbolic Complex Equations of First and Second Orders; First Order Complex Equations of Mixed Type; Second Order Linear Equations of Mixed Type; Second Order Quasilinear Equations of Mixed Type. Readership: Graduate students and academics in analysis, differential equations and applied mathematics.
Author : John Lewis
Publisher : Springer Science & Business Media
ISBN 13 : 3642271448
Total Pages : 259 pages
Book Rating : 4.6/5 (422 download)
Download or read book Regularity Estimates for Nonlinear Elliptic and Parabolic Problems written by John Lewis and published by Springer Science & Business Media. This book was released on 2012-03-02 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.
