Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Banasiak, Jacek^1,2  Lamb, Wilson³ 

[1] Univ KwaZulu Natal, Sch Math Sci, Durban, South Africa

[2] Tech Univ Lodz, Inst Math, PL-90924 Lodz, Poland

[3] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark, Scotland

关键词: Semigroups of operators;    Semilinear Cauchy problem;    Sectorial operators;    Analytic semigroups;    Classical solutions;    Fractional powers of operators;    Real interpolation;    Coagulation;    Fragmentation;    Moment estimates;   

DOI  :  10.1016/j.jmaa.2012.02.002

来源: Elsevier

【 摘 要 】

In this paper we show that continuous fragmentation operators are sectorial for a large range of physically relevant fragmentation rates and use this fact to prove classical solvability of the combined coagulation-fragmentation equation with unbounded coagulation kernels. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free