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Author :
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (935 download)
Download or read book Local behaviour of solutions to parabolic equations written by and published by . This book was released on 1987 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vincenzo Vespri
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (247 download)
Download or read book On the Local Behaviour of Solutions of Singular Parabolic Equations written by Vincenzo Vespri and published by . This book was released on 1990 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. DiBenedetto
Publisher :
ISBN 13 :
Total Pages : 83 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Local Behaviour of Solutions of Degenerate Parabolic Equations with Measurable Coefficients written by E. DiBenedetto and published by . This book was released on 1984 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locally bounded weak solutions of degenerate parabolic equations are proven to be locally hoelder continuous. Hoelder estimates are also derived up to the boundary for both Dirichlet data and (non-linear) variational data. Via a counterexample it is shown that non-negative solutions, in general, do not satisfy the parabolic version of the Harnack inequality.
Author : Vincenzo Vespri
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (165 download)
Download or read book On the Local Behaviour of Solutions of a Certain Class of Doubly Nonlinear Parabolic Equations written by Vincenzo Vespri and published by . This book was released on 1991 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Claude Le Bris
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110633140
Total Pages : 264 pages
Book Rating : 4.1/5 (16 download)
Download or read book Parabolic Equations with Irregular Data and Related Issues written by Claude Le Bris and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
Author : Watson
Publisher : Routledge
ISBN 13 : 1351425900
Total Pages : 312 pages
Book Rating : 4.3/5 (514 download)
Download or read book Parabolic Equations on an Infinite Strip written by Watson and published by Routledge. This book was released on 2017-10-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously unavailable in a single volume-on such topics as semigroup property.. . the Cauchy problem ... Gauss-Weierstrass representation . .. initial limits .. .normal limits and related representation theorems ... hyperplane conditions .. .determination of the initial measure .. . and the maximum principle. It also exploresnew, unpublished results on parabolic limits . . . more general limits ... and solutionssatisfying LP conditions.Requiring only a fundamental knowledge of general analysis and measure theory, thisbook serves as an excellent text for graduate students studying partial differentialequations and harmonic analysis, as well as a useful reference for analysts interested inapplied measure theory, and specialists in partial differential equations.
Author : Richard Allen Hager
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (179 download)
Download or read book Local Behavior of Solutions of Quasilinear Parabolic Equations written by Richard Allen Hager and published by . This book was released on 1967 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emmanuele DiBenedetto
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (461 download)
Download or read book Local Space-analiticy and Asymptotic Behaviour of Solutions of Certain Singular Parabolic Equations written by Emmanuele DiBenedetto and published by . This book was released on 1990 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. I. Zelenyak
Publisher : Walter de Gruyter
ISBN 13 : 311093504X
Total Pages : 425 pages
Book Rating : 4.1/5 (19 download)
Download or read book Qualitative Theory of Parabolic Equations, Part 1 written by T. I. Zelenyak and published by Walter de Gruyter. This book was released on 2011-09-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.
Author : Victor A. Galaktionov
Publisher : CRC Press
ISBN 13 : 0203998065
Total Pages : 384 pages
Book Rating : 4.2/5 (39 download)
Download or read book Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications written by Victor A. Galaktionov and published by CRC Press. This book was released on 2004-05-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Plya in the 1930's and rediscovered in part several times since, it was not un
Author : Milton Lees
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Solution of Parabolic Equations by Difference Methods written by Milton Lees and published by . This book was released on 1955 with total page 62 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 : 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 : Edward Kasner
Publisher : Courier Corporation
ISBN 13 : 0486320278
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)
Download or read book Mathematics and the Imagination written by Edward Kasner and published by Courier Corporation. This book was released on 2013-04-22 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.
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 : 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.
