Analytische Methoden in der Theorie der Erhaltungsgleichungen
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Home > Science, Technology & Agriculture > Technology: general issues > Engineering: general > Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)
Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)

Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)


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About the Book

Dieses Lehrbuch zu dem Gebiet der angewandten reellen Analysis stellt ma­ thematische Methoden vor, die für das heutige Verständnis der Theorie nicht­ linearer hyperbolischer Erhaltungsgleichungen von Bedeutung sind, aber auch in anderen Gebieten Anwendung finden. Es umfaßt sowohl klassische Themen der Analysis als auch insbesondere Methoden aus den letzten zwanzig Jahren, die noch nicht in der Lehrbuchliteratur eingehend behandelt werden. Das Buch ist an Studierende gerichtet, die am Anfang des Hauptstudiums stehen und denen die Grundlagen der Analysis, gewöhnliche Differentialglei­ chungen sowie die Funktionalanalysis bekannt sind. Es ist versucht worden, möglichst viel im Text oder den Anhängen darzustellen und zu entwickeln. Vorlesungen zur Maßtheorie und über Partielle Differentialgleichungen werden nicht vorausgesetzt. In einigen Fällen mußte allerdings für den Beweis von Aussagen auf einschlägige Literatur verwiesen werden, um den Umfang des Buches in vertretbarem Rahmen zu halten. Eine umfassende Abhandlung des Themas ist nicht möglich, da die Theorie 'der nichtlinearen hyperbolischen Erhaltungsgleichungen ein Gebiet der parti­ ellen Differentialgleichungen ist, in dem selbst fundamentale Konzepte noch nicht ausgereift sind. Es gibt nur Teilgebiete, in denen eine abgerundete Dar­ stellung von Resultaten möglich ist.

Table of Contents:
1 Strömungen und Erhaltungsgleichungen.- 2 Partielle Differentialgleichungen erster Ordnung, Charakteristiken.- 3 Maßtheorie.- 4 Nichtlineare Operatoren.- 5 Schwache und starke Konvergenz.- 6 Grundzüge der Variationsrechnung.- 7 Schwache Folgenstetigkeit von Superpositionsoperatoren.- 8 Kompensierte Kompaktheit.- 9 Youngsche Maße.- 10 Erhaltungsgleichungen.- A Das Lebesguesche Integral.- B Funktionenräume.- B.1 Räume stetiger Funktionen.- B.3 Sobolev-Räume.- C Fourier-Transformation und Distributionen.- C.1 Fourier-Transformation.- C.2 Distributionen.- C.3 Fourier-Transformation von Distributionen.


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Product Details
  • ISBN-13: 9783519002352
  • Publisher: Springer Fachmedien Wiesbaden
  • Publisher Imprint: Vieweg+Teubner Verlag
  • Height: 244 mm
  • No of Pages: 344
  • Returnable: Y
  • Width: 170 mm
  • ISBN-10: 3519002353
  • Publisher Date: 01 Jan 1999
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Series Title: 138 Teubner-Texte zur Mathematik


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Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)
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Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)
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Analytische Methoden in der Theorie der Erhaltungsgleichungen: (138 Teubner-Texte zur Mathematik)

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