Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 159-186 |
Seitenumfang | 28 |
Fachzeitschrift | Journal of differential equations |
Jahrgang | 218 |
Ausgabenummer | 1 |
Publikationsstatus | Veröffentlicht - 1 Nov. 2005 |
Extern publiziert | Ja |
Abstract
We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal of differential equations, Jahrgang 218, Nr. 1, 01.11.2005, S. 159-186.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion
AU - Amann, Herbert
AU - Walker, Christoph
N1 - Copyright: Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/11/1
Y1 - 2005/11/1
N2 - We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
AB - We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
KW - Coagulation
KW - Diffusion
KW - Fragmentation
KW - Semigroup theory
KW - Volume scattering
UR - http://www.scopus.com/inward/record.url?scp=27144523168&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2004.09.004
DO - 10.1016/j.jde.2004.09.004
M3 - Article
AN - SCOPUS:27144523168
VL - 218
SP - 159
EP - 186
JO - Journal of differential equations
JF - Journal of differential equations
SN - 0022-0396
IS - 1
ER -