Positive Semigroups of Operators, and Applications

- Reprinted from


Positive Semigroups of Operators, and Applications
Format:
Bog, hardback
Udgivelsesdato:
01-08-1984
Sprog:
Engelsk
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1 < p < 00. From this, Yau gets the geometric fact that complete noncom pact Riemannian manifolds with nonnegative Ricci curvature must have infinite volume, a result which was announced earlier by Calabi [4]. 6. Concluding Remarks In several of the above results, positivity of the semigroup plays an important role. This was also true, although only implicitly, for the early work of Hille and Yosida on the Fokker-Planck equation, i.e., Equation (4) with c = O. But it was Phillips [41], and Lumer and Phillips [37] who first called attention to the importance of dissipative and dispersive properties of the generator in the context of linear operators in a Banach space. The generation theorems in the Batty-Robinson paper appear to be the most definitive ones, so far, for this class of operators. The fundamental role played by the infinitesimal operator, also for the understanding of order properties, in the commutative as well as the noncommutative setting, are highlighted in a number of examples and applications in the different papers, and it is hoped that this publication will be of interest to researchers in a broad spectrum of the mathematical sub-divisions.

Vis mereVis mindre

ISBN13:
9789027718396
Vægt:
472 g
Dybde:
13 mm
Bredde:
156 mm
Højde:
234 mm
Forlag:
Springer
Format:
Hardback
  • Forfattere

    Vis mereVis mindre

    Vis mereVis mindre

    Positive Semigroups of Operators, and Applications

    - Reprinted from

    • Leveringstid 4-6 hverdage
    • Forventet levering 26-07-2019

    på lager

    Fandt du ikke hvad du søgte?

    Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

    Velkommen til Saxo

    Du har nu adgang til din konto hos Saxo, og kan se alle oplysninger om dit medlemskab, dine
    ordrer og din digitale boghylde under "Mit Saxo".

    Som tak for, at du har aktiveret dit medlemskab, har vi valgt at give dig fri læsning hele
    sommeren. Dvs. at du frit kan tilgå de mere en 50.000 bøger i Saxos app, samt købe bøger til
    vores altid lave medlemspris og fri fragt her på Saxo.com hele juli. Din næste medlemsbetaling
    vil først falde i august.

    Vi glæder os meget til at byde dig velkommen i vores univers, og håber at du kommer godt i
    gang med Saxo Premium.

    God sommer og god læselyst!

    Med venlig hilsen Saxo

    Kom i gang nu!