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The Resource Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov

Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov

Label
Singular solutions of nonlinear elliptic and parabolic equations
Title
Singular solutions of nonlinear elliptic and parabolic equations
Statement of responsibility
by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov
Creator
Contributor
Subject
Language
eng
Summary
This monograph looks at several trends of investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions to these equations. It will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Kovalevsky, Alexander A
Dewey number
515/.3534
Index
no index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Skrypnik, I. V
  • Shishkov, Andrey E
Series statement
De Gruyter series in nonlinear analysis and applications,
Series volume
volume 24
http://library.link/vocab/subjectName
  • Differential equations, Elliptic
  • Differential equations, Nonlinear
  • Differential equations, Parabolic
  • MATHEMATICS
  • MATHEMATICS
  • Differential equations, Elliptic
  • Differential equations, Nonlinear
  • Differential equations, Parabolic
Label
Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Foreword ; I. Nonlinear elliptic equations with L1-data ; 1. Nonlinear elliptic equations of the second order with L1-data ; 1.1 Introduction ; 1.2 General conditions for the limiting summability of solutions
  • 1.3 The cases where the right-hand side of the equation belongs to logarithmic classes 1.4 On the integrally logarithmic conditions for the limiting summability of solutions ; 1.5 The case where the right-hand side of equation belongs to Lebesgue spaces close to L1(O)
  • 1.6 On the convergence of functions from satisfying special integral inequalities 1.7 On the existence of entropy solutions for the equations with degenerate coercivity and L1-data ; 1.8 A priori properties of the entropy solutions of equations with degenerate coercivity and L1-data
  • 2. Nonlinear equations of the fourth order with strengthened coercivity and L1-data 2.1 Introduction ; 2.2 Set of functions ; 2.3 Definition and some properties of entropy solutions ; 2.4 One a priori estimate for the entropy solutions ; 2.5 Notion of H-solution
  • 2.6 On uniqueness of the entropy solution 2.7 Theorems on existence ; 2.8 Entropy solutions as elements of the Sobolev spaces and the existence of W-solutions ; 2.9 On the summability of functions from satisfying certain integral inequalities
Control code
939911315
Extent
1 online resource
Form of item
online
Isbn
9783110332254
Lccn
2016008232
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)939911315
Label
Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Foreword ; I. Nonlinear elliptic equations with L1-data ; 1. Nonlinear elliptic equations of the second order with L1-data ; 1.1 Introduction ; 1.2 General conditions for the limiting summability of solutions
  • 1.3 The cases where the right-hand side of the equation belongs to logarithmic classes 1.4 On the integrally logarithmic conditions for the limiting summability of solutions ; 1.5 The case where the right-hand side of equation belongs to Lebesgue spaces close to L1(O)
  • 1.6 On the convergence of functions from satisfying special integral inequalities 1.7 On the existence of entropy solutions for the equations with degenerate coercivity and L1-data ; 1.8 A priori properties of the entropy solutions of equations with degenerate coercivity and L1-data
  • 2. Nonlinear equations of the fourth order with strengthened coercivity and L1-data 2.1 Introduction ; 2.2 Set of functions ; 2.3 Definition and some properties of entropy solutions ; 2.4 One a priori estimate for the entropy solutions ; 2.5 Notion of H-solution
  • 2.6 On uniqueness of the entropy solution 2.7 Theorems on existence ; 2.8 Entropy solutions as elements of the Sobolev spaces and the existence of W-solutions ; 2.9 On the summability of functions from satisfying certain integral inequalities
Control code
939911315
Extent
1 online resource
Form of item
online
Isbn
9783110332254
Lccn
2016008232
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)939911315

Library Locations

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      38.710138 -90.311107
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