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
Resource Information
The item Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Singular solutions of nonlinear elliptic and parabolic equations, by Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 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 postgraduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis
 Language
 eng
 Extent
 1 online resource
 Contents

 Foreword ; I. Nonlinear elliptic equations with L1data ; 1. Nonlinear elliptic equations of the second order with L1data ; 1.1 Introduction ; 1.2 General conditions for the limiting summability of solutions
 1.3 The cases where the righthand 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 righthand 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 L1data ; 1.8 A priori properties of the entropy solutions of equations with degenerate coercivity and L1data
 2. Nonlinear equations of the fourth order with strengthened coercivity and L1data 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 Hsolution
 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 Wsolutions ; 2.9 On the summability of functions from satisfying certain integral inequalities
 Isbn
 9783110332254
 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
 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 postgraduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis
 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
 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 L1data ; 1. Nonlinear elliptic equations of the second order with L1data ; 1.1 Introduction ; 1.2 General conditions for the limiting summability of solutions
 1.3 The cases where the righthand 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 righthand 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 L1data ; 1.8 A priori properties of the entropy solutions of equations with degenerate coercivity and L1data
 2. Nonlinear equations of the fourth order with strengthened coercivity and L1data 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 Hsolution
 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 Wsolutions ; 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
 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 L1data ; 1. Nonlinear elliptic equations of the second order with L1data ; 1.1 Introduction ; 1.2 General conditions for the limiting summability of solutions
 1.3 The cases where the righthand 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 righthand 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 L1data ; 1.8 A priori properties of the entropy solutions of equations with degenerate coercivity and L1data
 2. Nonlinear equations of the fourth order with strengthened coercivity and L1data 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 Hsolution
 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 Wsolutions ; 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
Subject
 Differential equations, Elliptic
 Differential equations, Elliptic
 Differential equations, Nonlinear
 Differential equations, Nonlinear
 Differential equations, Parabolic
 Differential equations, Parabolic
 Electronic book
 Electronic books
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
Genre
Member of
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