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The Resource Nonlinear partial differential equations with applications, Tomáš Roubíček

Nonlinear partial differential equations with applications, Tomáš Roubíček

Label
Nonlinear partial differential equations with applications
Title
Nonlinear partial differential equations with applications
Statement of responsibility
Tomáš Roubíček
Creator
Subject
Language
eng
Summary
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo- ) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo- ) mechanics of solids and fluids, electrically (semi- ) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook. The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. --The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world.(Mathematical Reviews)
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Roubiček, Tomáš
Dewey number
515/.353
Index
index present
LC call number
QA377
LC item number
.R68 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
International series of numerical mathematics
Series volume
v. 153
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Differential equations, Nonlinear
  • Differential equations, Nonlinear
  • Differential equations, Partial
  • Nichtlineare partielle Differentialgleichung
Label
Nonlinear partial differential equations with applications, Tomáš Roubíček
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Evolution by pseudomonotone or weakly continuous mappings
  • Evolution governed by accretive mappings
  • Evolution governed by certain set-valued mappings
  • Doubly-nonlinear problems
  • Systems of equations: particular examples
  • STEADY-STATE PROBLEMS
  • Pseudomonotone or weakly continuous mappings
  • Accretive mappings
  • Potential problems: smooth case
  • Nonsmooth problems; variational inequalities
  • Systems of equations: particular examples
  • EVOLUTION PROBLEMS
  • Special auxiliary tools
Control code
826637244
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783034805131
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)826637244
Label
Nonlinear partial differential equations with applications, Tomáš Roubíček
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Evolution by pseudomonotone or weakly continuous mappings
  • Evolution governed by accretive mappings
  • Evolution governed by certain set-valued mappings
  • Doubly-nonlinear problems
  • Systems of equations: particular examples
  • STEADY-STATE PROBLEMS
  • Pseudomonotone or weakly continuous mappings
  • Accretive mappings
  • Potential problems: smooth case
  • Nonsmooth problems; variational inequalities
  • Systems of equations: particular examples
  • EVOLUTION PROBLEMS
  • Special auxiliary tools
Control code
826637244
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783034805131
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)826637244

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