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Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion |
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| Authors: | Herbert Amann Christoph Walker |
| Institution: | a Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, CH-8057, Zürich, Switzerland b Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, USA |
| 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. |
| Keywords: | Coagulation Fragmentation Volume scattering Diffusion Semigroup theory |
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