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Author :
Publisher :
ISBN 13 : 9781461415855
Total Pages : 294 pages
Book Rating : 4.4/5 (158 download)
Download or read book Harnack's Inequality for Degenerate and Singular Parabolic Equations written by and published by . This book was released on 2011-11-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1461208955
Total Pages : 402 pages
Book Rating : 4.4/5 (612 download)
Download or read book Degenerate Parabolic Equations written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
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 : Filippo M. Chiarenza
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (459 download)
Download or read book Harnack Inequality for Degenerate Parabolic Equations written by Filippo M. Chiarenza and published by . This book was released on 1983 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Filippo M. Chiarenza
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (459 download)
Download or read book A Remark on a Harnack Inequality for Degenerate Parabolic Equations written by Filippo M. Chiarenza and published by . This book was released on 1984 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vincenzo Vespri
Publisher : Springer Nature
ISBN 13 : 3030737780
Total Pages : 202 pages
Book Rating : 4.0/5 (37 download)
Download or read book Harnack Inequalities and Nonlinear Operators written by Vincenzo Vespri and published by Springer Nature. This book was released on 2021-05-29 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. The topics of the conference are certainly of great interest for the international mathematical community.
Author : Serena Dipierro
Publisher : Springer
ISBN 13 : 303018921X
Total Pages : 502 pages
Book Rating : 4.0/5 (31 download)
Download or read book Contemporary Research in Elliptic PDEs and Related Topics written by Serena Dipierro and published by Springer. This book was released on 2019-07-12 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.
Author : Filippo M. Chiarenza
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (459 download)
Download or read book Degenerate Parabolic Equations and Harnack Inequality written by Filippo M. Chiarenza and published by . This book was released on 1983 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joachim Escher
Publisher : Springer
ISBN 13 : 3319125478
Total Pages : 295 pages
Book Rating : 4.3/5 (191 download)
Download or read book Elliptic and Parabolic Equations written by Joachim Escher and published by Springer. This book was released on 2015-06-04 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.
Author : José Carlos Diniz Fernandes
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (551 download)
Download or read book Mean Value and Harnack Inequalities for a Class of Degenerate Parabolic Equations written by José Carlos Diniz Fernandes and published by . This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Darya Apushkinskaya
Publisher : American Mathematical Society
ISBN 13 : 1470415518
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)
Download or read book Proceedings of the St. Petersburg Mathematical Society, Volume XV written by Darya Apushkinskaya and published by American Mathematical Society. This book was released on 2014-08-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the international workshop, "Advances in Mathematical Analysis of Partial Differential Equations" held at the Institut Mittag-Leffler, Stockholm, Sweden, July 9-13, 2012, dedicated to the memory of the outstanding Russian mathematician Olga A. Ladyzhenskaya. The volume contains papers that engage a wide set of modern topics in the theory of linear and nonlinear partial differential equations and applications, including variational and free boundary problems, mathematical problems of hydrodynamics, and magneto-geostrophic equations.
Author : Luis A. Caffarelli
Publisher : American Mathematical Soc.
ISBN 13 : 0821804375
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli and published by American Mathematical Soc.. This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.
Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817645527
Total Pages : 404 pages
Book Rating : 4.8/5 (176 download)
Download or read book Partial Differential Equations written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2009-10-17 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing perspective on nonlinear equations. The treatment is mathematically rigorous with a generally theoretical layout, with indications to some of the physical origins of PDEs. The Second Edition is rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition offers many examples, problems and solutions to enhance understanding. Requiring only advanced differential calculus and some basic Lp theory, the book will appeal to advanced undergraduates and graduate students, and to applied mathematicians and mathematical physicists.
Author : Vladimir I. Bogachev
Publisher : American Mathematical Society
ISBN 13 : 1470470098
Total Pages : 495 pages
Book Rating : 4.4/5 (74 download)
Download or read book Fokker–Planck–Kolmogorov Equations written by Vladimir I. Bogachev and published by American Mathematical Society. This book was released on 2022-02-10 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Author : Alexander Domoshnitsky
Publisher : Springer Nature
ISBN 13 : 9811662975
Total Pages : 265 pages
Book Rating : 4.8/5 (116 download)
Download or read book Functional Differential Equations and Applications written by Alexander Domoshnitsky and published by Springer Nature. This book was released on 2022-02-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations. This book is a collection of selected papers presented at the international conference of Functional Differential Equations and Applications (FDEA-2019), 7th in the series, held at Ariel University, Israel, from August 22–27, 2019. Topics covered in the book include classical properties of functional differential equations as oscillation/non-oscillation, representation of solutions, sign properties of Green's matrices, comparison of solutions, stability, control, analysis of boundary value problems, and applications. The primary audience for this book includes specialists on ordinary, partial and functional differential equations, engineers and doctors dealing with modeling, and researchers in areas of mathematics and engineering.
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080521827
Total Pages : 579 pages
Book Rating : 4.0/5 (85 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 2004-08-24 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimates A.Bressan: The front tracking method for systems of conservation laws E.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations; L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systems A.Lunardi: Nonlinear parabolic equations and systems D.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE’s: from theory to numerics
