Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
Book Description
A Regularity Theory for Degenerate Vector Valued Variational Inequalities
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
Book Description
An Introduction to Variational Inequalities and Their Applications
Author: David Kinderlehrer
Publisher: SIAM
ISBN: 0898714664
Category : Mathematics
Languages : en
Pages : 328
Book Description
Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.
Publisher: SIAM
ISBN: 0898714664
Category : Mathematics
Languages : en
Pages : 328
Book Description
Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.
Regularity of Solutions of Degenerate Variational Inequalities
Author: Jun Mu
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Topics in Modern Regularity Theory
Author: Giuseppe Mingione
Publisher: Springer Science & Business Media
ISBN: 887642427X
Category : Mathematics
Languages : en
Pages : 211
Book Description
This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.
Publisher: Springer Science & Business Media
ISBN: 887642427X
Category : Mathematics
Languages : en
Pages : 211
Book Description
This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.
A Regularity Theory for a More General Class of Quasilinear Parabolic Partial Differential Equations and Variational Inequalities
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
Book Description
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1164
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1164
Book Description
Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions
Author: Michael Bildhauer
Publisher: Springer Science & Business Media
ISBN: 9783540402985
Category : Mathematics
Languages : en
Pages : 232
Book Description
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
Publisher: Springer Science & Business Media
ISBN: 9783540402985
Category : Mathematics
Languages : en
Pages : 232
Book Description
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
Topics in the Calculus of Variations
Author: Martin Fuchs
Publisher: Advanced Lectures in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 160
Book Description
This book illustrates two basic principles in the calculus of variations which are the question of existence of solutions and closely related the problem of regularity of minimizers. Chapter one studies variational problems for nonquadratic energy functionals defined on suitable classes of vectorvalued functions where also nonlinear constraints are incorporated. Problems of this type arise for mappings between Riemannian manifolds or in nonlinear elasticity. Using direct methods the existence of generalized minimizers is rather easy to establish and it is then shown that regularity holds up to a set of small measure. Chapter two contains a short introduction into Geometric Measure Theory which serves as a basis for developing an existence theory for (generalized) manifolds with prescribed mean curvature form and boundary in arbitrary dimensions and codimensions. One major aspect of the book is to concentrate on techniques and to present methods which turn out to be useful for applications in regularity theorems as well as for existence problems.
Publisher: Advanced Lectures in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 160
Book Description
This book illustrates two basic principles in the calculus of variations which are the question of existence of solutions and closely related the problem of regularity of minimizers. Chapter one studies variational problems for nonquadratic energy functionals defined on suitable classes of vectorvalued functions where also nonlinear constraints are incorporated. Problems of this type arise for mappings between Riemannian manifolds or in nonlinear elasticity. Using direct methods the existence of generalized minimizers is rather easy to establish and it is then shown that regularity holds up to a set of small measure. Chapter two contains a short introduction into Geometric Measure Theory which serves as a basis for developing an existence theory for (generalized) manifolds with prescribed mean curvature form and boundary in arbitrary dimensions and codimensions. One major aspect of the book is to concentrate on techniques and to present methods which turn out to be useful for applications in regularity theorems as well as for existence problems.
Convex Variational Problems
Author: Michael Bildhauer
Publisher: Springer
ISBN: 3540448853
Category : Mathematics
Languages : en
Pages : 222
Book Description
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
Publisher: Springer
ISBN: 3540448853
Category : Mathematics
Languages : en
Pages : 222
Book Description
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
CMUC
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 784
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 784
Book Description