On the blow-up mechanism of moving boundary problems

Original version

Lippoth, F.-M.: On the blow-up mechanism of moving boundary problems. In: Interfaces and Free Boundaries 13 (2011), Nr. 3, S. 423-435. DOI: https://doi.org/10.4171/IFB/266

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/2334

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Abstract:
We introduce the notion of maximal solutions of a class of moving boundary problems in the sense that we characterize what inhibits global existence of solutions. The technique is demonstrated on a model describing the growth of an avascular tumor. Further applications of the main result will be given elsewhere. © European Mathematical Society 2011.
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
Publication type: Article
Publishing status: publishedVersion
Publication date: 2011
Keywords english: Blow-up, Moving boundary problem
DDC: 510 | Mathematik

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