Regularity For Solutions To Parabolic Systems And Nonlocal Minimization Problems

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Regularity for Solutions to Parabolic Systems and Nonlocal Minimization Problems

Author : Joe Geisbauer
Publisher :
ISBN 13 : 9781303021107
Total Pages : 124 pages
Book Rating : 4.0/5 (211 download)

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Book Synopsis Regularity for Solutions to Parabolic Systems and Nonlocal Minimization Problems by : Joe Geisbauer

Download or read book Regularity for Solutions to Parabolic Systems and Nonlocal Minimization Problems written by Joe Geisbauer and published by . This book was released on 2013 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this dissertation is to contribute to both the nonlocal and the local settings of regularity theory within the calculus of variations. In the nonlocal theory, we first establish the existence of minimizers for two classes of functionals. However, the main result of Chapter 2 states an analogue for higher differentiability of minimizers in the setting of nonlocal functionals, which is established through an application of the difference quotient method. This nonlocal analogue is stated in terms of the fractional order difference quotient, which corresponds to the order of the Besov space to which the solution belongs.

Optimal Control of Nonlinear Parabolic Systems

Author : Pekka Neittaanmaki
Publisher : CRC Press
ISBN 13 : 9780824790813
Total Pages : 432 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Optimal Control of Nonlinear Parabolic Systems by : Pekka Neittaanmaki

Download or read book Optimal Control of Nonlinear Parabolic Systems written by Pekka Neittaanmaki and published by CRC Press. This book was released on 1994-02-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses theoretical approaches to the study of optimal control problems governed by non-linear evolutions - including semi-linear equations, variational inequalities and systems with phase transitions. It also provides algorithms for solving non-linear parabolic systems and multiphase Stefan-like systems.

Parabolic Systems with Polynomial Growth and Regularity

Author : Frank Duzaar
Publisher :
ISBN 13 : 9781470406226
Total Pages : 118 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Parabolic Systems with Polynomial Growth and Regularity by : Frank Duzaar

Download or read book Parabolic Systems with Polynomial Growth and Regularity written by Frank Duzaar and published by . This book was released on 2011 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Regularity of General Parabolic Systems with Degenerate Diffusion

Author : Verena Bögelein
Publisher : American Mathematical Soc.
ISBN 13 : 0821889753
Total Pages : 155 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Regularity of General Parabolic Systems with Degenerate Diffusion by : Verena Bögelein

Download or read book The Regularity of General Parabolic Systems with Degenerate Diffusion written by Verena Bögelein and published by American Mathematical Soc.. This book was released on 2013-01-28 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the paper is twofold. On one hand the authors want to present a new technique called $p$-caloric approximation, which is a proper generalization of the classical compactness methods first developed by DeGiorgi with his Harmonic Approximation Lemma. This last result, initially introduced in the setting of Geometric Measure Theory to prove the regularity of minimal surfaces, is nowadays a classical tool to prove linearization and regularity results for vectorial problems. Here the authors develop a very far reaching version of this general principle devised to linearize general degenerate parabolic systems. The use of this result in turn allows the authors to achieve the subsequent and main aim of the paper, that is, the implementation of a partial regularity theory for parabolic systems with degenerate diffusion of the type $\partial_t u - \mathrm{div} a(Du)=0$, without necessarily assuming a quasi-diagonal structure, i.e. a structure prescribing that the gradient non-linearities depend only on the the explicit scalar quantity.

Elliptic and Parabolic Problems in Non Smooth Domains

Author : Ian Wood
Publisher : Logos Verlag Berlin
ISBN 13 : 9783832510596
Total Pages : 0 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Elliptic and Parabolic Problems in Non Smooth Domains by : Ian Wood

Download or read book Elliptic and Parabolic Problems in Non Smooth Domains written by Ian Wood and published by Logos Verlag Berlin. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity of solutions is an important part of the theory of partial differential equations. In this text, the regularity of solutions to elliptic and parabolic problems in Lipschitz domains is investigated. Maximal regularity estimates are useful when dealing with nonlinear parabolic problems. However, the known maximal regularity results for smooth domains no longer hold in Lp-spaces over Lipschitz domains for the whole range of exponents p. Here, maximal regularity estimates are shown for the Laplacian with suitable domain in Lp-spaces for a restricted range of p. Operators with L-coefficients in convex domains and Ornstein-Uhlenbeck operators in exterior Lipschitz domains are also discussed.

Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Author : John Lewis
Publisher : Springer
ISBN 13 : 3642271456
Total Pages : 259 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Regularity Estimates for Nonlinear Elliptic and Parabolic Problems by : John Lewis

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.

On the partial regularity of weak solutions of nonlinear parabolic systems

Author : Mariano Giaquinta
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis On the partial regularity of weak solutions of nonlinear parabolic systems by : Mariano Giaquinta

Download or read book On the partial regularity of weak solutions of nonlinear parabolic systems written by Mariano Giaquinta and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Everywhere Regularity for Parabolic Systems Via Non-linear Heat Approximation

Author : Khoa N. Le
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (773 download)

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Book Synopsis Everywhere Regularity for Parabolic Systems Via Non-linear Heat Approximation by : Khoa N. Le

Download or read book Everywhere Regularity for Parabolic Systems Via Non-linear Heat Approximation written by Khoa N. Le and published by . This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Traveling Wave Solutions of Parabolic Systems

Author : A. I. Volpert
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897577
Total Pages : 478 pages
Book Rating : 4.8/5 (975 download)

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Book Synopsis Traveling Wave Solutions of Parabolic Systems by : A. I. Volpert

Download or read book Traveling Wave Solutions of Parabolic Systems written by A. I. Volpert and published by American Mathematical Soc.. This book was released on with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of travelling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. With introductory material accessible to non-mathematicians and a nearly complete bibliography of about 500 references, this book is an excellent resource on the subject.

Comparison Principles for Fully-nonlinear Parabolic Equations and Regularity Theory for Weak Solutions of Parabolic Systems in Carnot Groups

Download Comparison Principles for Fully-nonlinear Parabolic Equations and Regularity Theory for Weak Solutions of Parabolic Systems in Carnot Groups PDF Online Free

Author : Erin Rachel Haller
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Comparison Principles for Fully-nonlinear Parabolic Equations and Regularity Theory for Weak Solutions of Parabolic Systems in Carnot Groups by : Erin Rachel Haller

Download or read book Comparison Principles for Fully-nonlinear Parabolic Equations and Regularity Theory for Weak Solutions of Parabolic Systems in Carnot Groups written by Erin Rachel Haller and published by . This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Semigroups and Optimal Regularity in Parabolic Problems

Author : Alessandra Lunardi
Publisher : Birkhäuser
ISBN 13 : 9783034899567
Total Pages : 0 pages
Book Rating : 4.8/5 (995 download)

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Book Synopsis Analytic Semigroups and Optimal Regularity in Parabolic Problems by : Alessandra Lunardi

Download or read book Analytic Semigroups and Optimal Regularity in Parabolic Problems written by Alessandra Lunardi and published by Birkhäuser. This book was released on 2011-09-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and of how such a theory may be used in parabolic PDE's. It takes into account the developments of the theory during the last fifteen years, and it is focused on classical solutions, with continuous or Holder continuous derivatives. On one hand, working in spaces of continuous functions rather than in Lebesgue spaces seems to be appropriate in view of the number of parabolic problems arising in applied mathematics, where continuity has physical meaning; on the other hand it allows one to consider any type of nonlinearities (even of nonlocal type), even involving the highest order derivatives of the solution, avoiding the limitations on the growth of the nonlinear terms required by the LP approach. Moreover, the continuous space theory is, at present, sufficiently well established. For the Hilbert space approach we refer to J. L. LIONS - E. MAGENES [128], M. S. AGRANOVICH - M. l. VISHIK [14], and for the LP approach to V. A. SOLONNIKOV [184], P. GRISVARD [94], G. DI BLASIO [72], G. DORE - A. VENNI [76] and the subsequent papers [90], [169], [170]. Many books about abstract evolution equations and semigroups contain some chapters on analytic semigroups. See, e. g. , E. HILLE - R. S. PHILLIPS [100]' S. G. KREIN [114], K. YOSIDA [213], A. PAZY [166], H. TANABE [193], PH.

Regularity of solutions for some quasilinear parabolic systems

Author : Aleksandr Košelev
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (461 download)

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Book Synopsis Regularity of solutions for some quasilinear parabolic systems by : Aleksandr Košelev

Download or read book Regularity of solutions for some quasilinear parabolic systems written by Aleksandr Košelev and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlocal Elliptic and Parabolic Problems

Author : Piotr Biler
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlocal Elliptic and Parabolic Problems by : Piotr Biler

Download or read book Nonlocal Elliptic and Parabolic Problems written by Piotr Biler and published by . This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regularity of Solutions for Some Quasilinear Parabolic Systems

Author : A. Koshelev
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Regularity of Solutions for Some Quasilinear Parabolic Systems by : A. Koshelev

Download or read book Regularity of Solutions for Some Quasilinear Parabolic Systems written by A. Koshelev and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete and Continuous Dynamical Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete and Continuous Dynamical Systems by :

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Evolution Equations and Applications

Author : Gheorghe Morosanu
Publisher : Springer Science & Business Media
ISBN 13 : 9789027724861
Total Pages : 362 pages
Book Rating : 4.7/5 (248 download)

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Book Synopsis Nonlinear Evolution Equations and Applications by : Gheorghe Morosanu

Download or read book Nonlinear Evolution Equations and Applications written by Gheorghe Morosanu and published by Springer Science & Business Media. This book was released on 1988-08-31 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Superlinear Parabolic Problems

Author : Pavol Quittner
Publisher : Springer Science & Business Media
ISBN 13 : 3764384425
Total Pages : 593 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Superlinear Parabolic Problems by : Pavol Quittner

Download or read book Superlinear Parabolic Problems written by Pavol Quittner and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.