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Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions

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Title: Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions
Description: Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
Authors: Dung Le
Resource Type: eBook.
Subjects: Differential equations, Parabolic, Differential equations, Elliptic, Control theory, Coupled mode theory, Differential equations, Partial
Categories: MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Mathematical Analysis
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1927021
RelevancyScore: 1090
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1090.09973144531
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  Data: Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions
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  Label: Description
  Group: Ab
  Data: Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
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  Data: <searchLink fieldCode="AR" term="%22Dung+Le%22">Dung Le</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Differential+equations%2C+Parabolic%22">Differential equations, Parabolic</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%2C+Elliptic%22">Differential equations, Elliptic</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory%22">Control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Coupled+mode+theory%22">Coupled mode theory</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%2C+Partial%22">Differential equations, Partial</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.642
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential equations, Parabolic
        Type: general
      – SubjectFull: Differential equations, Elliptic
        Type: general
      – SubjectFull: Control theory
        Type: general
      – SubjectFull: Coupled mode theory
        Type: general
      – SubjectFull: Differential equations, Partial
        Type: general
    Titles:
      – TitleFull: Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Dung Le
      – PersonEntity:
          Name:
            NameFull: Dung Le
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2019
            – D: 21
              M: 12
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110607154
            – Type: isbn-electronic
              Value: 9783110607178
            – Type: isbn-electronic
              Value: 9783110608762
          Numbering:
            – Type: volume
              Value: 00028
          Titles:
            – TitleFull: Strongly Coupled Parabolic and Elliptic Systems : Existence and Regularity of Strong and Weak Solutions
              Type: main
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