A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review

Autoren

  • Christoph Walker

Externe Organisationen

  • Vanderbilt University
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Details

OriginalspracheEnglisch
Titel des SammelwerksProgress in Nonlinear Differential Equations and Their Application
Herausgeber (Verlag)Springer US
Seiten517-528
Seitenumfang12
PublikationsstatusVeröffentlicht - 2005
Extern publiziertJa

Publikationsreihe

NameProgress in Nonlinear Differential Equations and Their Application
Band64
ISSN (Print)1421-1750
ISSN (elektronisch)2374-0280

Abstract

Continuous coagulation-fragmentation processes with diffusion are studied. It is shown that the parameter dependent diffusion term d(y). generates an analytic semigroup in suitable state spaces even for unbounded diffusion coefficients d(y). This yields existence and uniqueness of local-intime smooth solutions that are global for small initial values in the absence of fragmentation.

ASJC Scopus Sachgebiete

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A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients. / Walker, Christoph.
Progress in Nonlinear Differential Equations and Their Application. Springer US, 2005. S. 517-528 (Progress in Nonlinear Differential Equations and Their Application; Band 64).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review

Walker, C 2005, A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients. in Progress in Nonlinear Differential Equations and Their Application. Progress in Nonlinear Differential Equations and Their Application, Bd. 64, Springer US, S. 517-528. https://doi.org/10.1007/3-7643-7385-7_31
Walker, C. (2005). A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients. In Progress in Nonlinear Differential Equations and Their Application (S. 517-528). (Progress in Nonlinear Differential Equations and Their Application; Band 64). Springer US. https://doi.org/10.1007/3-7643-7385-7_31
Walker C. A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients. in Progress in Nonlinear Differential Equations and Their Application. Springer US. 2005. S. 517-528. (Progress in Nonlinear Differential Equations and Their Application). doi: 10.1007/3-7643-7385-7_31
Walker, Christoph. / A remark on continuous coagulation-fragmentation equations with unbounded diffusion coefficients. Progress in Nonlinear Differential Equations and Their Application. Springer US, 2005. S. 517-528 (Progress in Nonlinear Differential Equations and Their Application).
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