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Author : S. Chelkak
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (897 download)
Download or read book Weak Regularity of Solutions of Quasilinear Elliptic Systems written by S. Chelkak and published by . This book was released on 1991 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergej I. Čelkak
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (311 download)
Download or read book Weak Regularity of Solutions of Quasilinear Elliptic Systems written by Sergej I. Čelkak and published by . This book was released on 1991 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marina Borovikova
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (565 download)
Download or read book Partial Regularity of Weak Solutions of Quasilinear Elliptic Systems and Weak Harnack Inequalities written by Marina Borovikova and published by . This book was released on 2004 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Koshelev
Publisher : Springer
ISBN 13 : 3540447725
Total Pages : 277 pages
Book Rating : 4.5/5 (44 download)
Download or read book Regularity Problem for Quasilinear Elliptic and Parabolic Systems written by Alexander Koshelev and published by Springer. This book was released on 2006-11-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.
Author : Aleksandr Ivanovich Koshelev
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)
Download or read book Regularity of Solutions of Quasilinear Elliptic Systems written by Aleksandr Ivanovich Koshelev and published by . This book was released on 1985 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lisa Beck
Publisher : Springer
ISBN 13 : 3319274856
Total Pages : 214 pages
Book Rating : 4.3/5 (192 download)
Download or read book Elliptic Regularity Theory written by Lisa Beck and published by Springer. This book was released on 2016-04-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.
Author : Friedmar Schulz
Publisher : Springer
ISBN 13 : 3540466789
Total Pages : 137 pages
Book Rating : 4.5/5 (44 download)
Download or read book Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions written by Friedmar Schulz and published by Springer. This book was released on 2006-12-08 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.
Author : Aleksandr I. Košelev
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (246 download)
Download or read book Regularity of solutions of quasilinear elliptic systems written by Aleksandr I. Košelev and published by . This book was released on 1985 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ya-Zhe Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821819240
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Second Order Elliptic Equations and Elliptic Systems written by Ya-Zhe Chen and published by American Mathematical Soc.. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.
Author : Djairo G. de Figueiredo
Publisher : Springer Science & Business Media
ISBN 13 : 3319028561
Total Pages : 733 pages
Book Rating : 4.3/5 (19 download)
Download or read book Djairo G. de Figueiredo - Selected Papers written by Djairo G. de Figueiredo and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.
Author : Michael Meier
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (16 download)
Download or read book Liouville theorems, partial regularity, and Hoelder continuity of weak solutions to quasilinear elliptic systems written by Michael Meier and published by . This book was released on 1982 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ziqian Yan
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (219 download)
Download or read book Everywhere Regularity for Solutions to Quasilinear Elliptic Systems of Triangular Form written by Ziqian Yan and published by . This book was released on 1985 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jindrich Něcas
Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (115 download)
Download or read book On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations written by Jindrich Něcas and published by . This book was released on 1986 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Friedmar Schults
Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (44 download)
Download or read book Regularity Theory for Quasilinear Elliptic Systems and Monge-Ampere Equations in Two Dimensions written by Friedmar Schults and published by . This book was released on 1900 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Meier
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (634 download)
Download or read book Liouville Theorems, Partial Regularity, and Hölder Continuity of Weak Solutions to Quasilinear Elliptic Systems written by Michael Meier and published by . This book was released on 1982 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrico Giusti
Publisher : World Scientific
ISBN 13 : 9812795553
Total Pages : 412 pages
Book Rating : 4.8/5 (127 download)
Download or read book Direct Methods in the Calculus of Variations written by Enrico Giusti and published by World Scientific. This book was released on 2003 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory. Contents: Semi-Classical Theory; Measurable Functions; Sobolev Spaces; Convexity and Semicontinuity; Quasi-Convex Functionals; Quasi-Minima; HAlder Continuity; First Derivatives; Partial Regularity; Higher Derivatives. Readership: Graduate students, academics and researchers in the field of analysis and differential equations."
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.
